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Finding the Fourth Proportional to 144,022.70, 216,034.05 and 132,617.90

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Solution

The fourth proportional to 144,022.70, 216,034.05 and 132,617.90 is: 198,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.70 : 216,034.05 = 132,617.90 : x
  2. Step 2: Convert to fraction form
    144,022.70/216,034.05 = 132,617.90/x
  3. Step 3: Cross multiply
    144,022.70x = 216,034.05 × 132,617.90
  4. Step 4: Simplify right side
    144,022.70x = 28,649,982,039.50
  5. Step 5: Solve for x
    x = 28,649,982,039.50/144,022.70
  6. Step 6: Final answer
    x = 198,926.85

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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.