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Finding the Fourth Proportional to 132,645.28, 198,935.12 and 82,699.67

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Solution

The fourth proportional to 132,645.28, 198,935.12 and 82,699.67 is: 124,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,645.28 : 198,935.12 = 82,699.67 : x
  2. Step 2: Convert to fraction form
    132,645.28/198,935.12 = 82,699.67/x
  3. Step 3: Cross multiply
    132,645.28x = 198,935.12 × 82,699.67
  4. Step 4: Simplify right side
    132,645.28x = 16,451,868,775.41
  5. Step 5: Solve for x
    x = 16,451,868,775.41/132,645.28
  6. Step 6: Final answer
    x = 124,029.06

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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.