The set of resistors are bundled together in what the RV industry calls a "resistor pack", located at the probes on the tank, and often just dangling by the wires to the probes. The red lump in
this wiring harness is an example, but the pack is often a cruder package just looking like a bulky wire connection covered in shrink-wrap.
They're not just in series with the probes - the resistors are in series with each other, the probes are connected between the resistors, and water reaching the probes shorts those points in the resistor string to ground. The result is that the whole set of resistors and probes acts like one resistor which varies in resistance with water level, and that's what the panel reads.