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Finding the Fourth Proportional to 203,910.30, 305,865.45 and 150,766.20

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Solution

The fourth proportional to 203,910.30, 305,865.45 and 150,766.20 is: 226,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910.30 : 305,865.45 = 150,766.20 : x
  2. Step 2: Convert to fraction form
    203,910.30/305,865.45 = 150,766.20/x
  3. Step 3: Cross multiply
    203,910.30x = 305,865.45 × 150,766.20
  4. Step 4: Simplify right side
    203,910.30x = 46,114,171,607.79
  5. Step 5: Solve for x
    x = 46,114,171,607.79/203,910.30
  6. Step 6: Final answer
    x = 226,149.30

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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.