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Finding the Fourth Proportional to 218,165.20, 327,247.80 and 178,766.80

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Solution

The fourth proportional to 218,165.20, 327,247.80 and 178,766.80 is: 268,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,165.20 : 327,247.80 = 178,766.80 : x
  2. Step 2: Convert to fraction form
    218,165.20/327,247.80 = 178,766.80/x
  3. Step 3: Cross multiply
    218,165.20x = 327,247.80 × 178,766.80
  4. Step 4: Simplify right side
    218,165.20x = 58,501,042,013.04
  5. Step 5: Solve for x
    x = 58,501,042,013.04/218,165.20
  6. Step 6: Final answer
    x = 268,150.20

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1.5x scale

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.