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Finding the Fourth Proportional to 283,640.28, 391,354.84 and 161,105.39

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Solution

The fourth proportional to 283,640.28, 391,354.84 and 161,105.39 is: 222,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,640.28 : 391,354.84 = 161,105.39 : x
  2. Step 2: Convert to fraction form
    283,640.28/391,354.84 = 161,105.39/x
  3. Step 3: Cross multiply
    283,640.28x = 391,354.84 × 161,105.39
  4. Step 4: Simplify right side
    283,640.28x = 63,049,373,321.06
  5. Step 5: Solve for x
    x = 63,049,373,321.06/283,640.28
  6. Step 6: Final answer
    x = 222,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.