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Finding the Fourth Proportional to 206,519.50, 285,001.82 and 115,882.17

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Solution

The fourth proportional to 206,519.50, 285,001.82 and 115,882.17 is: 159,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,519.50 : 285,001.82 = 115,882.17 : x
  2. Step 2: Convert to fraction form
    206,519.50/285,001.82 = 115,882.17/x
  3. Step 3: Cross multiply
    206,519.50x = 285,001.82 × 115,882.17
  4. Step 4: Simplify right side
    206,519.50x = 33,026,629,355.55
  5. Step 5: Solve for x
    x = 33,026,629,355.55/206,519.50
  6. Step 6: Final answer
    x = 159,920.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.