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Finding the Fourth Proportional to 206,593.56, 309,849.54 and 56,795.22

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Solution

The fourth proportional to 206,593.56, 309,849.54 and 56,795.22 is: 85,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.56 : 309,849.54 = 56,795.22 : x
  2. Step 2: Convert to fraction form
    206,593.56/309,849.54 = 56,795.22/x
  3. Step 3: Cross multiply
    206,593.56x = 309,849.54 × 56,795.22
  4. Step 4: Simplify right side
    206,593.56x = 17,597,972,791.20
  5. Step 5: Solve for x
    x = 17,597,972,791.20/206,593.56
  6. Step 6: Final answer
    x = 85,181.61

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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.