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Finding the Fourth Proportional to 177,474.48, 244,912.92 and 96,901.76

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Solution

The fourth proportional to 177,474.48, 244,912.92 and 96,901.76 is: 133,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,474.48 : 244,912.92 = 96,901.76 : x
  2. Step 2: Convert to fraction form
    177,474.48/244,912.92 = 96,901.76/x
  3. Step 3: Cross multiply
    177,474.48x = 244,912.92 × 96,901.76
  4. Step 4: Simplify right side
    177,474.48x = 23,732,491,770.17
  5. Step 5: Solve for x
    x = 23,732,491,770.17/177,474.48
  6. Step 6: Final answer
    x = 133,723.41

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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.