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Finding the Fourth Proportional to 227,076.56, 313,375.28 and 126,474.56

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Solution

The fourth proportional to 227,076.56, 313,375.28 and 126,474.56 is: 174,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,076.56 : 313,375.28 = 126,474.56 : x
  2. Step 2: Convert to fraction form
    227,076.56/313,375.28 = 126,474.56/x
  3. Step 3: Cross multiply
    227,076.56x = 313,375.28 × 126,474.56
  4. Step 4: Simplify right side
    227,076.56x = 39,634,000,652.88
  5. Step 5: Solve for x
    x = 39,634,000,652.88/227,076.56
  6. Step 6: Final answer
    x = 174,540.25

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Why These Related Problems?

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