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Finding the Fourth Proportional to 203,125.44, 280,296 and 121,451.52

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Solution

The fourth proportional to 203,125.44, 280,296 and 121,451.52 is: 167,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,125.44 : 280,296 = 121,451.52 : x
  2. Step 2: Convert to fraction form
    203,125.44/280,296 = 121,451.52/x
  3. Step 3: Cross multiply
    203,125.44x = 280,296 × 121,451.52
  4. Step 4: Simplify right side
    203,125.44x = 34,042,375,249.92
  5. Step 5: Solve for x
    x = 34,042,375,249.92/203,125.44
  6. Step 6: Final answer
    x = 167,592.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.