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Finding the Fourth Proportional to 126,194.68, 189,251.04 and 41,932.22

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Solution

The fourth proportional to 126,194.68, 189,251.04 and 41,932.22 is: 62,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,194.68 : 189,251.04 = 41,932.22 : x
  2. Step 2: Convert to fraction form
    126,194.68/189,251.04 = 41,932.22/x
  3. Step 3: Cross multiply
    126,194.68x = 189,251.04 × 41,932.22
  4. Step 4: Simplify right side
    126,194.68x = 7,935,715,455.50
  5. Step 5: Solve for x
    x = 7,935,715,455.50/126,194.68
  6. Step 6: Final answer
    x = 62,884.71

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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.