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Finding the Fourth Proportional to 136,469.84, 204,687.48 and 53,422.16

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Solution

The fourth proportional to 136,469.84, 204,687.48 and 53,422.16 is: 80,126.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,469.84 : 204,687.48 = 53,422.16 : x
  2. Step 2: Convert to fraction form
    136,469.84/204,687.48 = 53,422.16/x
  3. Step 3: Cross multiply
    136,469.84x = 204,687.48 × 53,422.16
  4. Step 4: Simplify right side
    136,469.84x = 10,934,847,306.56
  5. Step 5: Solve for x
    x = 10,934,847,306.56/136,469.84
  6. Step 6: Final answer
    x = 80,126.48

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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.