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Finding the Fourth Proportional to 142,587.61, 213,865.00 and 37,414.78

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Solution

The fourth proportional to 142,587.61, 213,865.00 and 37,414.78 is: 56,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,587.61 : 213,865.00 = 37,414.78 : x
  2. Step 2: Convert to fraction form
    142,587.61/213,865.00 = 37,414.78/x
  3. Step 3: Cross multiply
    142,587.61x = 213,865.00 × 37,414.78
  4. Step 4: Simplify right side
    142,587.61x = 8,001,711,296.50
  5. Step 5: Solve for x
    x = 8,001,711,296.50/142,587.61
  6. Step 6: Final answer
    x = 56,117.86

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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.