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Finding the Fourth Proportional to 132,021.30, 198,007.65 and 82,011.90

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Solution

The fourth proportional to 132,021.30, 198,007.65 and 82,011.90 is: 123,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,021.30 : 198,007.65 = 82,011.90 : x
  2. Step 2: Convert to fraction form
    132,021.30/198,007.65 = 82,011.90/x
  3. Step 3: Cross multiply
    132,021.30x = 198,007.65 × 82,011.90
  4. Step 4: Simplify right side
    132,021.30x = 16,238,983,591.04
  5. Step 5: Solve for x
    x = 16,238,983,591.04/132,021.30
  6. Step 6: Final answer
    x = 123,002.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.