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Finding the Fourth Proportional to 226,132.64, 339,233.58 and 74,282

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Solution

The fourth proportional to 226,132.64, 339,233.58 and 74,282 is: 111,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,132.64 : 339,233.58 = 74,282 : x
  2. Step 2: Convert to fraction form
    226,132.64/339,233.58 = 74,282/x
  3. Step 3: Cross multiply
    226,132.64x = 339,233.58 × 74,282
  4. Step 4: Simplify right side
    226,132.64x = 25,198,948,789.56
  5. Step 5: Solve for x
    x = 25,198,948,789.56/226,132.64
  6. Step 6: Final answer
    x = 111,434.37

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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.