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Finding the Fourth Proportional to 206,593.31, 285,104.45 and 115,954.91

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Solution

The fourth proportional to 206,593.31, 285,104.45 and 115,954.91 is: 160,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.31 : 285,104.45 = 115,954.91 : x
  2. Step 2: Convert to fraction form
    206,593.31/285,104.45 = 115,954.91/x
  3. Step 3: Cross multiply
    206,593.31x = 285,104.45 × 115,954.91
  4. Step 4: Simplify right side
    206,593.31x = 33,059,260,260.58
  5. Step 5: Solve for x
    x = 33,059,260,260.58/206,593.31
  6. Step 6: Final answer
    x = 160,020.96

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Why These Related Problems?

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