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Finding the Fourth Proportional to 136,147.20, 204,220.80 and 77,098.20

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Solution

The fourth proportional to 136,147.20, 204,220.80 and 77,098.20 is: 115,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,147.20 : 204,220.80 = 77,098.20 : x
  2. Step 2: Convert to fraction form
    136,147.20/204,220.80 = 77,098.20/x
  3. Step 3: Cross multiply
    136,147.20x = 204,220.80 × 77,098.20
  4. Step 4: Simplify right side
    136,147.20x = 15,745,056,082.56
  5. Step 5: Solve for x
    x = 15,745,056,082.56/136,147.20
  6. Step 6: Final answer
    x = 115,647.30

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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.