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Finding the Fourth Proportional to 123,840.13, 170,951.70 and 83,608.39

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Solution

The fourth proportional to 123,840.13, 170,951.70 and 83,608.39 is: 115,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,840.13 : 170,951.70 = 83,608.39 : x
  2. Step 2: Convert to fraction form
    123,840.13/170,951.70 = 83,608.39/x
  3. Step 3: Cross multiply
    123,840.13x = 170,951.70 × 83,608.39
  4. Step 4: Simplify right side
    123,840.13x = 14,292,996,404.76
  5. Step 5: Solve for x
    x = 14,292,996,404.76/123,840.13
  6. Step 6: Final answer
    x = 115,414.90

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