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Finding the Fourth Proportional to 227,469.76, 313,745.76 and 197,200.96

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Solution

The fourth proportional to 227,469.76, 313,745.76 and 197,200.96 is: 271,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,469.76 : 313,745.76 = 197,200.96 : x
  2. Step 2: Convert to fraction form
    227,469.76/313,745.76 = 197,200.96/x
  3. Step 3: Cross multiply
    227,469.76x = 313,745.76 × 197,200.96
  4. Step 4: Simplify right side
    227,469.76x = 61,870,965,067.93
  5. Step 5: Solve for x
    x = 61,870,965,067.93/227,469.76
  6. Step 6: Final answer
    x = 271,996.44

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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.