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Finding the Fourth Proportional to 206,593.88, 309,226.49 and 106,617.90

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Solution

The fourth proportional to 206,593.88, 309,226.49 and 106,617.90 is: 159,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.88 : 309,226.49 = 106,617.90 : x
  2. Step 2: Convert to fraction form
    206,593.88/309,226.49 = 106,617.90/x
  3. Step 3: Cross multiply
    206,593.88x = 309,226.49 × 106,617.90
  4. Step 4: Simplify right side
    206,593.88x = 32,969,078,455.08
  5. Step 5: Solve for x
    x = 32,969,078,455.08/206,593.88
  6. Step 6: Final answer
    x = 159,584.01

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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.