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Finding the Fourth Proportional to 126,194.66, 189,251.03 and 41,932.20

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Solution

The fourth proportional to 126,194.66, 189,251.03 and 41,932.20 is: 62,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,194.66 : 189,251.03 = 41,932.20 : x
  2. Step 2: Convert to fraction form
    126,194.66/189,251.03 = 41,932.20/x
  3. Step 3: Cross multiply
    126,194.66x = 189,251.03 × 41,932.20
  4. Step 4: Simplify right side
    126,194.66x = 7,935,712,040.17
  5. Step 5: Solve for x
    x = 7,935,712,040.17/126,194.66
  6. Step 6: Final answer
    x = 62,884.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.