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Finding the Fourth Proportional to 269,138.20, 403,610.10 and 135,974.20

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Solution

The fourth proportional to 269,138.20, 403,610.10 and 135,974.20 is: 203,912.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,138.20 : 403,610.10 = 135,974.20 : x
  2. Step 2: Convert to fraction form
    269,138.20/403,610.10 = 135,974.20/x
  3. Step 3: Cross multiply
    269,138.20x = 403,610.10 × 135,974.20
  4. Step 4: Simplify right side
    269,138.20x = 54,880,560,459.42
  5. Step 5: Solve for x
    x = 54,880,560,459.42/269,138.20
  6. Step 6: Final answer
    x = 203,912.19

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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.