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Finding the Fourth Proportional to 206,203.80, 309,229.82 and 71,233.52

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Solution

The fourth proportional to 206,203.80, 309,229.82 and 71,233.52 is: 106,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,203.80 : 309,229.82 = 71,233.52 : x
  2. Step 2: Convert to fraction form
    206,203.80/309,229.82 = 71,233.52/x
  3. Step 3: Cross multiply
    206,203.80x = 309,229.82 × 71,233.52
  4. Step 4: Simplify right side
    206,203.80x = 22,027,528,567.57
  5. Step 5: Solve for x
    x = 22,027,528,567.57/206,203.80
  6. Step 6: Final answer
    x = 106,824.07

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