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Finding the Fourth Proportional to 203,905.20, 305,566.20 and 150,177.90

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Solution

The fourth proportional to 203,905.20, 305,566.20 and 150,177.90 is: 225,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,905.20 : 305,566.20 = 150,177.90 : x
  2. Step 2: Convert to fraction form
    203,905.20/305,566.20 = 150,177.90/x
  3. Step 3: Cross multiply
    203,905.20x = 305,566.20 × 150,177.90
  4. Step 4: Simplify right side
    203,905.20x = 45,889,290,226.98
  5. Step 5: Solve for x
    x = 45,889,290,226.98/203,905.20
  6. Step 6: Final answer
    x = 225,052.08

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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.