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Finding the Fourth Proportional to 227,998.48, 342,003.60 and 108,027.28

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Solution

The fourth proportional to 227,998.48, 342,003.60 and 108,027.28 is: 162,043.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,998.48 : 342,003.60 = 108,027.28 : x
  2. Step 2: Convert to fraction form
    227,998.48/342,003.60 = 108,027.28/x
  3. Step 3: Cross multiply
    227,998.48x = 342,003.60 × 108,027.28
  4. Step 4: Simplify right side
    227,998.48x = 36,945,718,658.21
  5. Step 5: Solve for x
    x = 36,945,718,658.21/227,998.48
  6. Step 6: Final answer
    x = 162,043.71

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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.