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Finding the Fourth Proportional to 321,811.20, 482,716.80 and 85,177.80

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Solution

The fourth proportional to 321,811.20, 482,716.80 and 85,177.80 is: 127,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,811.20 : 482,716.80 = 85,177.80 : x
  2. Step 2: Convert to fraction form
    321,811.20/482,716.80 = 85,177.80/x
  3. Step 3: Cross multiply
    321,811.20x = 482,716.80 × 85,177.80
  4. Step 4: Simplify right side
    321,811.20x = 41,116,755,047.04
  5. Step 5: Solve for x
    x = 41,116,755,047.04/321,811.20
  6. Step 6: Final answer
    x = 127,766.70

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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.