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Finding the Fourth Proportional to 135,974.20, 204,034.20 and 57,096.40

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Solution

The fourth proportional to 135,974.20, 204,034.20 and 57,096.40 is: 85,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,974.20 : 204,034.20 = 57,096.40 : x
  2. Step 2: Convert to fraction form
    135,974.20/204,034.20 = 57,096.40/x
  3. Step 3: Cross multiply
    135,974.20x = 204,034.20 × 57,096.40
  4. Step 4: Simplify right side
    135,974.20x = 11,649,618,296.88
  5. Step 5: Solve for x
    x = 11,649,618,296.88/135,974.20
  6. Step 6: Final answer
    x = 85,675.21

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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.