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Finding the Fourth Proportional to 311,982.70, 468,049.65 and 90,366.70

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Solution

The fourth proportional to 311,982.70, 468,049.65 and 90,366.70 is: 135,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,982.70 : 468,049.65 = 90,366.70 : x
  2. Step 2: Convert to fraction form
    311,982.70/468,049.65 = 90,366.70/x
  3. Step 3: Cross multiply
    311,982.70x = 468,049.65 × 90,366.70
  4. Step 4: Simplify right side
    311,982.70x = 42,296,102,306.66
  5. Step 5: Solve for x
    x = 42,296,102,306.66/311,982.70
  6. Step 6: Final answer
    x = 135,571.95

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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.