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Finding the Fourth Proportional to 311,846.82, 467,766.12 and 75,187.62

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Solution

The fourth proportional to 311,846.82, 467,766.12 and 75,187.62 is: 112,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,846.82 : 467,766.12 = 75,187.62 : x
  2. Step 2: Convert to fraction form
    311,846.82/467,766.12 = 75,187.62/x
  3. Step 3: Cross multiply
    311,846.82x = 467,766.12 × 75,187.62
  4. Step 4: Simplify right side
    311,846.82x = 35,170,221,279.43
  5. Step 5: Solve for x
    x = 35,170,221,279.43/311,846.82
  6. Step 6: Final answer
    x = 112,780.44

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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.