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Finding the Fourth Proportional to 203,947.20, 305,629.20 and 150,219.90

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Solution

The fourth proportional to 203,947.20, 305,629.20 and 150,219.90 is: 225,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,947.20 : 305,629.20 = 150,219.90 : x
  2. Step 2: Convert to fraction form
    203,947.20/305,629.20 = 150,219.90/x
  3. Step 3: Cross multiply
    203,947.20x = 305,629.20 × 150,219.90
  4. Step 4: Simplify right side
    203,947.20x = 45,911,587,861.08
  5. Step 5: Solve for x
    x = 45,911,587,861.08/203,947.20
  6. Step 6: Final answer
    x = 225,115.07

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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.