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Finding the Fourth Proportional to 132,102.56, 198,037.20 and 101,076.32

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Solution

The fourth proportional to 132,102.56, 198,037.20 and 101,076.32 is: 151,525.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,102.56 : 198,037.20 = 101,076.32 : x
  2. Step 2: Convert to fraction form
    132,102.56/198,037.20 = 101,076.32/x
  3. Step 3: Cross multiply
    132,102.56x = 198,037.20 × 101,076.32
  4. Step 4: Simplify right side
    132,102.56x = 20,016,871,773.00
  5. Step 5: Solve for x
    x = 20,016,871,773.00/132,102.56
  6. Step 6: Final answer
    x = 151,525.24

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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.