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Finding the Fourth Proportional to 203,189.46, 280,538.46 and 126,824.88

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Solution

The fourth proportional to 203,189.46, 280,538.46 and 126,824.88 is: 175,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,189.46 : 280,538.46 = 126,824.88 : x
  2. Step 2: Convert to fraction form
    203,189.46/280,538.46 = 126,824.88/x
  3. Step 3: Cross multiply
    203,189.46x = 280,538.46 × 126,824.88
  4. Step 4: Simplify right side
    203,189.46x = 35,579,256,524.88
  5. Step 5: Solve for x
    x = 35,579,256,524.88/203,189.46
  6. Step 6: Final answer
    x = 175,103.85

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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.