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Finding the Fourth Proportional to 231,934.62, 347,896.44 and 74,164.44

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Solution

The fourth proportional to 231,934.62, 347,896.44 and 74,164.44 is: 111,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,934.62 : 347,896.44 = 74,164.44 : x
  2. Step 2: Convert to fraction form
    231,934.62/347,896.44 = 74,164.44/x
  3. Step 3: Cross multiply
    231,934.62x = 347,896.44 × 74,164.44
  4. Step 4: Simplify right side
    231,934.62x = 25,801,544,650.59
  5. Step 5: Solve for x
    x = 25,801,544,650.59/231,934.62
  6. Step 6: Final answer
    x = 111,244.90

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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.