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Finding the Fourth Proportional to 227,049.92, 340,876.44 and 193,982.48

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Solution

The fourth proportional to 227,049.92, 340,876.44 and 193,982.48 is: 291,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,049.92 : 340,876.44 = 193,982.48 : x
  2. Step 2: Convert to fraction form
    227,049.92/340,876.44 = 193,982.48/x
  3. Step 3: Cross multiply
    227,049.92x = 340,876.44 × 193,982.48
  4. Step 4: Simplify right side
    227,049.92x = 66,124,057,204.77
  5. Step 5: Solve for x
    x = 66,124,057,204.77/227,049.92
  6. Step 6: Final answer
    x = 291,231.36

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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.