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Finding the Fourth Proportional to 206,382.50, 309,553.01 and 56,637.86

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Solution

The fourth proportional to 206,382.50, 309,553.01 and 56,637.86 is: 84,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.50 : 309,553.01 = 56,637.86 : x
  2. Step 2: Convert to fraction form
    206,382.50/309,553.01 = 56,637.86/x
  3. Step 3: Cross multiply
    206,382.50x = 309,553.01 × 56,637.86
  4. Step 4: Simplify right side
    206,382.50x = 17,532,419,759.77
  5. Step 5: Solve for x
    x = 17,532,419,759.77/206,382.50
  6. Step 6: Final answer
    x = 84,951.10

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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.