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Finding the Fourth Proportional to 206,422.80, 309,691.80 and 101,245.20

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Solution

The fourth proportional to 206,422.80, 309,691.80 and 101,245.20 is: 151,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.80 : 309,691.80 = 101,245.20 : x
  2. Step 2: Convert to fraction form
    206,422.80/309,691.80 = 101,245.20/x
  3. Step 3: Cross multiply
    206,422.80x = 309,691.80 × 101,245.20
  4. Step 4: Simplify right side
    206,422.80x = 31,354,808,229.36
  5. Step 5: Solve for x
    x = 31,354,808,229.36/206,422.80
  6. Step 6: Final answer
    x = 151,896.05

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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.