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Finding the Fourth Proportional to 206,115.75, 309,217.73 and 63,957.92

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Solution

The fourth proportional to 206,115.75, 309,217.73 and 63,957.92 is: 95,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,115.75 : 309,217.73 = 63,957.92 : x
  2. Step 2: Convert to fraction form
    206,115.75/309,217.73 = 63,957.92/x
  3. Step 3: Cross multiply
    206,115.75x = 309,217.73 × 63,957.92
  4. Step 4: Simplify right side
    206,115.75x = 19,776,920,972.04
  5. Step 5: Solve for x
    x = 19,776,920,972.04/206,115.75
  6. Step 6: Final answer
    x = 95,950.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.