Chrysler used "two-wire" speakers back then, which all ground back through the radio. The rear bracket also serves as the "case ground" for the radio in addition to being a support item to keep the radio stabil in its mounting location.
On my '80 Newport, the factory stereo uses two-wire front speakers but also use one-wire rear speakers. Which means "internal ground" rear spearkers. Instead, I got some aftermarket dual cones for back there and then ran a jumper wire from the negative terminal on the speaker to a speaker mounting bolt on each rear speaker. Completing the circuit for the rear speakers. Worked fine.
GM was famous for using internallyu-grounded speakers, especially for the rear speakers, in the 1970s and later.
Also note that there are "+" and "-" terminals on the speakers. On the factory speakers, you can determine which is which by the color codes of the wires. On the aftermarket speakers, one terminal is usually wider than the other terminal. You can also use a C-cell battery and two leads to do the same thing, making sure that the voice coils move in unison with each other. Most of the aftermarket wire bundles which can come with the speakers also have one lead which is golden and the other one is silver, which can be seen through the clear insulator material.
There is a definite part number on the connecting harness between the stereo f/r fader and the rear speakers. When I did my deal in 1976, I ordered everything from the local dealer (seems like it was about $300.00 USD at the time?). Everything came in from the Detroit Depot in about a week. Only the rear connector harness was not available! So I built one myself from heavier-gauge speaker wire and solderless terminals. Considering that this was when anything not mechanical was usually not avaialble past the current model year, from Chrysler, I was pleased and amazed that it all happened at all. Defied all odds, it seemed!
Somewhere, there is a schematie for the rear speaker wiring in the wiring schematics. Might download and look at several years of C-bodies. Mine was a '70 Monaco.
Enjoy!
CBODY67