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Finding the Fourth Proportional to 229,112.68, 343,691.34 and 85,057.24

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Solution

The fourth proportional to 229,112.68, 343,691.34 and 85,057.24 is: 127,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,112.68 : 343,691.34 = 85,057.24 : x
  2. Step 2: Convert to fraction form
    229,112.68/343,691.34 = 85,057.24/x
  3. Step 3: Cross multiply
    229,112.68x = 343,691.34 × 85,057.24
  4. Step 4: Simplify right side
    229,112.68x = 29,233,436,792.30
  5. Step 5: Solve for x
    x = 29,233,436,792.30/229,112.68
  6. Step 6: Final answer
    x = 127,594.15

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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.