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Finding the Fourth Proportional to 185,809.80, 256,523.92 and 122,332.13

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Solution

The fourth proportional to 185,809.80, 256,523.92 and 122,332.13 is: 168,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,809.80 : 256,523.92 = 122,332.13 : x
  2. Step 2: Convert to fraction form
    185,809.80/256,523.92 = 122,332.13/x
  3. Step 3: Cross multiply
    185,809.80x = 256,523.92 × 122,332.13
  4. Step 4: Simplify right side
    185,809.80x = 31,381,115,941.10
  5. Step 5: Solve for x
    x = 31,381,115,941.10/185,809.80
  6. Step 6: Final answer
    x = 168,888.38

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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.