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Finding the Fourth Proportional to 231,805.88, 347,691.54 and 74,051

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Solution

The fourth proportional to 231,805.88, 347,691.54 and 74,051 is: 111,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,805.88 : 347,691.54 = 74,051 : x
  2. Step 2: Convert to fraction form
    231,805.88/347,691.54 = 74,051/x
  3. Step 3: Cross multiply
    231,805.88x = 347,691.54 × 74,051
  4. Step 4: Simplify right side
    231,805.88x = 25,746,906,228.54
  5. Step 5: Solve for x
    x = 25,746,906,228.54/231,805.88
  6. Step 6: Final answer
    x = 111,070.98

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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.