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Finding the Fourth Proportional to 138,497.72, 207,781.50 and 38,657.80

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Solution

The fourth proportional to 138,497.72, 207,781.50 and 38,657.80 is: 57,996.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,497.72 : 207,781.50 = 38,657.80 : x
  2. Step 2: Convert to fraction form
    138,497.72/207,781.50 = 38,657.80/x
  3. Step 3: Cross multiply
    138,497.72x = 207,781.50 × 38,657.80
  4. Step 4: Simplify right side
    138,497.72x = 8,032,375,670.70
  5. Step 5: Solve for x
    x = 8,032,375,670.70/138,497.72
  6. Step 6: Final answer
    x = 57,996.45

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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.