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Finding the Fourth Proportional to 225,952.92, 311,804.51 and 123,976.08

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Solution

The fourth proportional to 225,952.92, 311,804.51 and 123,976.08 is: 171,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,952.92 : 311,804.51 = 123,976.08 : x
  2. Step 2: Convert to fraction form
    225,952.92/311,804.51 = 123,976.08/x
  3. Step 3: Cross multiply
    225,952.92x = 311,804.51 × 123,976.08
  4. Step 4: Simplify right side
    225,952.92x = 38,656,300,256.24
  5. Step 5: Solve for x
    x = 38,656,300,256.24/225,952.92
  6. Step 6: Final answer
    x = 171,081.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.