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Finding the Fourth Proportional to 142,081.20, 213,084.80 and 42,217.92

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Solution

The fourth proportional to 142,081.20, 213,084.80 and 42,217.92 is: 63,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,081.20 : 213,084.80 = 42,217.92 : x
  2. Step 2: Convert to fraction form
    142,081.20/213,084.80 = 42,217.92/x
  3. Step 3: Cross multiply
    142,081.20x = 213,084.80 × 42,217.92
  4. Step 4: Simplify right side
    142,081.20x = 8,995,997,039.62
  5. Step 5: Solve for x
    x = 8,995,997,039.62/142,081.20
  6. Step 6: Final answer
    x = 63,315.89

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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.