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Finding the Fourth Proportional to 206,299.17, 284,693.87 and 115,658.96

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Solution

The fourth proportional to 206,299.17, 284,693.87 and 115,658.96 is: 159,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,299.17 : 284,693.87 = 115,658.96 : x
  2. Step 2: Convert to fraction form
    206,299.17/284,693.87 = 115,658.96/x
  3. Step 3: Cross multiply
    206,299.17x = 284,693.87 × 115,658.96
  4. Step 4: Simplify right side
    206,299.17x = 32,927,395,788.25
  5. Step 5: Solve for x
    x = 32,927,395,788.25/206,299.17
  6. Step 6: Final answer
    x = 159,609.93

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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.