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Finding the Fourth Proportional to 203,757.20, 305,052.60 and 180,429.20

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Solution

The fourth proportional to 203,757.20, 305,052.60 and 180,429.20 is: 270,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,757.20 : 305,052.60 = 180,429.20 : x
  2. Step 2: Convert to fraction form
    203,757.20/305,052.60 = 180,429.20/x
  3. Step 3: Cross multiply
    203,757.20x = 305,052.60 × 180,429.20
  4. Step 4: Simplify right side
    203,757.20x = 55,040,396,575.92
  5. Step 5: Solve for x
    x = 55,040,396,575.92/203,757.20
  6. Step 6: Final answer
    x = 270,127.37

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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.