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Finding the Fourth Proportional to 101,229.97, 151,713.24 and 41,188.47

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Solution

The fourth proportional to 101,229.97, 151,713.24 and 41,188.47 is: 61,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,229.97 : 151,713.24 = 41,188.47 : x
  2. Step 2: Convert to fraction form
    101,229.97/151,713.24 = 41,188.47/x
  3. Step 3: Cross multiply
    101,229.97x = 151,713.24 × 41,188.47
  4. Step 4: Simplify right side
    101,229.97x = 6,248,836,234.34
  5. Step 5: Solve for x
    x = 6,248,836,234.34/101,229.97
  6. Step 6: Final answer
    x = 61,729.12

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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.