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Finding the Fourth Proportional to 206,589.92, 309,593.89 and 164,282.27

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Solution

The fourth proportional to 206,589.92, 309,593.89 and 164,282.27 is: 246,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,589.92 : 309,593.89 = 164,282.27 : x
  2. Step 2: Convert to fraction form
    206,589.92/309,593.89 = 164,282.27/x
  3. Step 3: Cross multiply
    206,589.92x = 309,593.89 × 164,282.27
  4. Step 4: Simplify right side
    206,589.92x = 50,860,786,205.92
  5. Step 5: Solve for x
    x = 50,860,786,205.92/206,589.92
  6. Step 6: Final answer
    x = 246,192.00

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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.