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Finding the Fourth Proportional to 203,488.80, 305,233.20 and 150,344.70

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Solution

The fourth proportional to 203,488.80, 305,233.20 and 150,344.70 is: 225,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.80 : 305,233.20 = 150,344.70 : x
  2. Step 2: Convert to fraction form
    203,488.80/305,233.20 = 150,344.70/x
  3. Step 3: Cross multiply
    203,488.80x = 305,233.20 × 150,344.70
  4. Step 4: Simplify right side
    203,488.80x = 45,890,193,884.04
  5. Step 5: Solve for x
    x = 45,890,193,884.04/203,488.80
  6. Step 6: Final answer
    x = 225,517.05

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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.