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Finding the Fourth Proportional to 206,502.60, 309,753.90 and 198,629.40

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Solution

The fourth proportional to 206,502.60, 309,753.90 and 198,629.40 is: 297,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,502.60 : 309,753.90 = 198,629.40 : x
  2. Step 2: Convert to fraction form
    206,502.60/309,753.90 = 198,629.40/x
  3. Step 3: Cross multiply
    206,502.60x = 309,753.90 × 198,629.40
  4. Step 4: Simplify right side
    206,502.60x = 61,526,231,304.66
  5. Step 5: Solve for x
    x = 61,526,231,304.66/206,502.60
  6. Step 6: Final answer
    x = 297,944.10

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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.