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Finding the Fourth Proportional to 206,644.91, 309,930.98 and 56,849.04

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Solution

The fourth proportional to 206,644.91, 309,930.98 and 56,849.04 is: 85,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.91 : 309,930.98 = 56,849.04 : x
  2. Step 2: Convert to fraction form
    206,644.91/309,930.98 = 56,849.04/x
  3. Step 3: Cross multiply
    206,644.91x = 309,930.98 × 56,849.04
  4. Step 4: Simplify right side
    206,644.91x = 17,619,278,395.01
  5. Step 5: Solve for x
    x = 17,619,278,395.01/206,644.91
  6. Step 6: Final answer
    x = 85,263.55

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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.