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Finding the Fourth Proportional to 206,518.39, 309,652.95 and 92,645.44

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Solution

The fourth proportional to 206,518.39, 309,652.95 and 92,645.44 is: 138,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,518.39 : 309,652.95 = 92,645.44 : x
  2. Step 2: Convert to fraction form
    206,518.39/309,652.95 = 92,645.44/x
  3. Step 3: Cross multiply
    206,518.39x = 309,652.95 × 92,645.44
  4. Step 4: Simplify right side
    206,518.39x = 28,687,932,251.78
  5. Step 5: Solve for x
    x = 28,687,932,251.78/206,518.39
  6. Step 6: Final answer
    x = 138,912.24

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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.