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Finding the Fourth Proportional to 129,337.92, 178,488.72 and 71,982

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Solution

The fourth proportional to 129,337.92, 178,488.72 and 71,982 is: 99,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,337.92 : 178,488.72 = 71,982 : x
  2. Step 2: Convert to fraction form
    129,337.92/178,488.72 = 71,982/x
  3. Step 3: Cross multiply
    129,337.92x = 178,488.72 × 71,982
  4. Step 4: Simplify right side
    129,337.92x = 12,847,975,043.04
  5. Step 5: Solve for x
    x = 12,847,975,043.04/129,337.92
  6. Step 6: Final answer
    x = 99,336.49

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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.