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Finding the Fourth Proportional to 206,171.13, 309,290.31 and 73,022.52

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Solution

The fourth proportional to 206,171.13, 309,290.31 and 73,022.52 is: 109,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,171.13 : 309,290.31 = 73,022.52 : x
  2. Step 2: Convert to fraction form
    206,171.13/309,290.31 = 73,022.52/x
  3. Step 3: Cross multiply
    206,171.13x = 309,290.31 × 73,022.52
  4. Step 4: Simplify right side
    206,171.13x = 22,585,157,847.78
  5. Step 5: Solve for x
    x = 22,585,157,847.78/206,171.13
  6. Step 6: Final answer
    x = 109,545.69

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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.