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Finding the Fourth Proportional to 206,562.60, 309,843.90 and 206,562.60

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Solution

The fourth proportional to 206,562.60, 309,843.90 and 206,562.60 is: 309,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,562.60 : 309,843.90 = 206,562.60 : x
  2. Step 2: Convert to fraction form
    206,562.60/309,843.90 = 206,562.60/x
  3. Step 3: Cross multiply
    206,562.60x = 309,843.90 × 206,562.60
  4. Step 4: Simplify right side
    206,562.60x = 64,002,161,578.14
  5. Step 5: Solve for x
    x = 64,002,161,578.14/206,562.60
  6. Step 6: Final answer
    x = 309,843.90

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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.