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Finding the Fourth Proportional to 138,307.50, 207,442.62 and 54,008.78

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Solution

The fourth proportional to 138,307.50, 207,442.62 and 54,008.78 is: 81,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,307.50 : 207,442.62 = 54,008.78 : x
  2. Step 2: Convert to fraction form
    138,307.50/207,442.62 = 54,008.78/x
  3. Step 3: Cross multiply
    138,307.50x = 207,442.62 × 54,008.78
  4. Step 4: Simplify right side
    138,307.50x = 11,203,721,788.99
  5. Step 5: Solve for x
    x = 11,203,721,788.99/138,307.50
  6. Step 6: Final answer
    x = 81,005.89

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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.