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Finding the Fourth Proportional to 123,179.38, 169,988.36 and 77,877.81

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Solution

The fourth proportional to 123,179.38, 169,988.36 and 77,877.81 is: 107,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,179.38 : 169,988.36 = 77,877.81 : x
  2. Step 2: Convert to fraction form
    123,179.38/169,988.36 = 77,877.81/x
  3. Step 3: Cross multiply
    123,179.38x = 169,988.36 × 77,877.81
  4. Step 4: Simplify right side
    123,179.38x = 13,238,320,812.90
  5. Step 5: Solve for x
    x = 13,238,320,812.90/123,179.38
  6. Step 6: Final answer
    x = 107,471.89

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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.