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Finding the Fourth Proportional to 205,034.87, 307,446.98 and 92,654.21

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Solution

The fourth proportional to 205,034.87, 307,446.98 and 92,654.21 is: 138,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034.87 : 307,446.98 = 92,654.21 : x
  2. Step 2: Convert to fraction form
    205,034.87/307,446.98 = 92,654.21/x
  3. Step 3: Cross multiply
    205,034.87x = 307,446.98 × 92,654.21
  4. Step 4: Simplify right side
    205,034.87x = 28,486,257,354.13
  5. Step 5: Solve for x
    x = 28,486,257,354.13/205,034.87
  6. Step 6: Final answer
    x = 138,933.72

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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.