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Finding the Fourth Proportional to 132,102.88, 198,037.67 and 101,076.64

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Solution

The fourth proportional to 132,102.88, 198,037.67 and 101,076.64 is: 151,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,102.88 : 198,037.67 = 101,076.64 : x
  2. Step 2: Convert to fraction form
    132,102.88/198,037.67 = 101,076.64/x
  3. Step 3: Cross multiply
    132,102.88x = 198,037.67 × 101,076.64
  4. Step 4: Simplify right side
    132,102.88x = 20,016,981,286.84
  5. Step 5: Solve for x
    x = 20,016,981,286.84/132,102.88
  6. Step 6: Final answer
    x = 151,525.71

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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.