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Finding the Fourth Proportional to 206,930.67, 285,566.22 and 125,260.80

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Solution

The fourth proportional to 206,930.67, 285,566.22 and 125,260.80 is: 172,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,930.67 : 285,566.22 = 125,260.80 : x
  2. Step 2: Convert to fraction form
    206,930.67/285,566.22 = 125,260.80/x
  3. Step 3: Cross multiply
    206,930.67x = 285,566.22 × 125,260.80
  4. Step 4: Simplify right side
    206,930.67x = 35,770,253,892.25
  5. Step 5: Solve for x
    x = 35,770,253,892.25/206,930.67
  6. Step 6: Final answer
    x = 172,861.05

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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.