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Finding the Fourth Proportional to 142,732.40, 214,098.60 and 76,377.20

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Solution

The fourth proportional to 142,732.40, 214,098.60 and 76,377.20 is: 114,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,732.40 : 214,098.60 = 76,377.20 : x
  2. Step 2: Convert to fraction form
    142,732.40/214,098.60 = 76,377.20/x
  3. Step 3: Cross multiply
    142,732.40x = 214,098.60 × 76,377.20
  4. Step 4: Simplify right side
    142,732.40x = 16,352,251,591.92
  5. Step 5: Solve for x
    x = 16,352,251,591.92/142,732.40
  6. Step 6: Final answer
    x = 114,565.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.