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Finding the Fourth Proportional to 129,200.52, 178,306.70 and 77,519.55

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Solution

The fourth proportional to 129,200.52, 178,306.70 and 77,519.55 is: 106,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,200.52 : 178,306.70 = 77,519.55 : x
  2. Step 2: Convert to fraction form
    129,200.52/178,306.70 = 77,519.55/x
  3. Step 3: Cross multiply
    129,200.52x = 178,306.70 × 77,519.55
  4. Step 4: Simplify right side
    129,200.52x = 13,822,254,758.39
  5. Step 5: Solve for x
    x = 13,822,254,758.39/129,200.52
  6. Step 6: Final answer
    x = 106,982.97

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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.