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Finding the Fourth Proportional to 206,728.29, 285,267.52 and 125,086.95

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Solution

The fourth proportional to 206,728.29, 285,267.52 and 125,086.95 is: 172,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,728.29 : 285,267.52 = 125,086.95 : x
  2. Step 2: Convert to fraction form
    206,728.29/285,267.52 = 125,086.95/x
  3. Step 3: Cross multiply
    206,728.29x = 285,267.52 × 125,086.95
  4. Step 4: Simplify right side
    206,728.29x = 35,683,244,010.86
  5. Step 5: Solve for x
    x = 35,683,244,010.86/206,728.29
  6. Step 6: Final answer
    x = 172,609.39

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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.