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Finding the Fourth Proportional to 109,693.24, 151,367.94 and 61,951.24

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Solution

The fourth proportional to 109,693.24, 151,367.94 and 61,951.24 is: 85,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,693.24 : 151,367.94 = 61,951.24 : x
  2. Step 2: Convert to fraction form
    109,693.24/151,367.94 = 61,951.24/x
  3. Step 3: Cross multiply
    109,693.24x = 151,367.94 × 61,951.24
  4. Step 4: Simplify right side
    109,693.24x = 9,377,431,579.25
  5. Step 5: Solve for x
    x = 9,377,431,579.25/109,693.24
  6. Step 6: Final answer
    x = 85,487.78

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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.