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Finding the Fourth Proportional to 312,773.80, 469,112.10 and 88,112.20

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Solution

The fourth proportional to 312,773.80, 469,112.10 and 88,112.20 is: 132,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,773.80 : 469,112.10 = 88,112.20 : x
  2. Step 2: Convert to fraction form
    312,773.80/469,112.10 = 88,112.20/x
  3. Step 3: Cross multiply
    312,773.80x = 469,112.10 × 88,112.20
  4. Step 4: Simplify right side
    312,773.80x = 41,334,499,177.62
  5. Step 5: Solve for x
    x = 41,334,499,177.62/312,773.80
  6. Step 6: Final answer
    x = 132,154.61

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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.