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Finding the Fourth Proportional to 203,745.20, 305,704.20 and 128,922.80

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Solution

The fourth proportional to 203,745.20, 305,704.20 and 128,922.80 is: 193,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,745.20 : 305,704.20 = 128,922.80 : x
  2. Step 2: Convert to fraction form
    203,745.20/305,704.20 = 128,922.80/x
  3. Step 3: Cross multiply
    203,745.20x = 305,704.20 × 128,922.80
  4. Step 4: Simplify right side
    203,745.20x = 39,412,241,435.76
  5. Step 5: Solve for x
    x = 39,412,241,435.76/203,745.20
  6. Step 6: Final answer
    x = 193,438.87

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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.