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Finding the Fourth Proportional to 203,704.80, 305,787.60 and 120,645.60

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Solution

The fourth proportional to 203,704.80, 305,787.60 and 120,645.60 is: 181,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,704.80 : 305,787.60 = 120,645.60 : x
  2. Step 2: Convert to fraction form
    203,704.80/305,787.60 = 120,645.60/x
  3. Step 3: Cross multiply
    203,704.80x = 305,787.60 × 120,645.60
  4. Step 4: Simplify right side
    203,704.80x = 36,891,928,474.56
  5. Step 5: Solve for x
    x = 36,891,928,474.56/203,704.80
  6. Step 6: Final answer
    x = 181,104.86

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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.