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Finding the Fourth Proportional to 231,951.36, 320,083.92 and 131,349.60

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Solution

The fourth proportional to 231,951.36, 320,083.92 and 131,349.60 is: 181,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,951.36 : 320,083.92 = 131,349.60 : x
  2. Step 2: Convert to fraction form
    231,951.36/320,083.92 = 131,349.60/x
  3. Step 3: Cross multiply
    231,951.36x = 320,083.92 × 131,349.60
  4. Step 4: Simplify right side
    231,951.36x = 42,042,894,858.43
  5. Step 5: Solve for x
    x = 42,042,894,858.43/231,951.36
  6. Step 6: Final answer
    x = 181,257.38

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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.