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Finding the Fourth Proportional to 206,375.43, 309,563.54 and 56,617.77

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Solution

The fourth proportional to 206,375.43, 309,563.54 and 56,617.77 is: 84,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.43 : 309,563.54 = 56,617.77 : x
  2. Step 2: Convert to fraction form
    206,375.43/309,563.54 = 56,617.77/x
  3. Step 3: Cross multiply
    206,375.43x = 309,563.54 × 56,617.77
  4. Step 4: Simplify right side
    206,375.43x = 17,526,797,308.11
  5. Step 5: Solve for x
    x = 17,526,797,308.11/206,375.43
  6. Step 6: Final answer
    x = 84,926.76

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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.