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Finding the Fourth Proportional to 203,902.80, 305,854.20 and 150,758.70

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Solution

The fourth proportional to 203,902.80, 305,854.20 and 150,758.70 is: 226,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,902.80 : 305,854.20 = 150,758.70 : x
  2. Step 2: Convert to fraction form
    203,902.80/305,854.20 = 150,758.70/x
  3. Step 3: Cross multiply
    203,902.80x = 305,854.20 × 150,758.70
  4. Step 4: Simplify right side
    203,902.80x = 46,110,181,581.54
  5. Step 5: Solve for x
    x = 46,110,181,581.54/203,902.80
  6. Step 6: Final answer
    x = 226,138.05

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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.