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Finding the Fourth Proportional to 218,375.25, 327,229.32 and 147,034.38

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Solution

The fourth proportional to 218,375.25, 327,229.32 and 147,034.38 is: 220,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,375.25 : 327,229.32 = 147,034.38 : x
  2. Step 2: Convert to fraction form
    218,375.25/327,229.32 = 147,034.38/x
  3. Step 3: Cross multiply
    218,375.25x = 327,229.32 × 147,034.38
  4. Step 4: Simplify right side
    218,375.25x = 48,113,960,184.02
  5. Step 5: Solve for x
    x = 48,113,960,184.02/218,375.25
  6. Step 6: Final answer
    x = 220,326.98

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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.