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Finding the Fourth Proportional to 218,563.20, 327,747.60 and 100,270.80

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Solution

The fourth proportional to 218,563.20, 327,747.60 and 100,270.80 is: 150,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,563.20 : 327,747.60 = 100,270.80 : x
  2. Step 2: Convert to fraction form
    218,563.20/327,747.60 = 100,270.80/x
  3. Step 3: Cross multiply
    218,563.20x = 327,747.60 × 100,270.80
  4. Step 4: Simplify right side
    218,563.20x = 32,863,514,050.08
  5. Step 5: Solve for x
    x = 32,863,514,050.08/218,563.20
  6. Step 6: Final answer
    x = 150,361.61

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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.