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Finding the Fourth Proportional to 231,998.92, 320,158.38 and 131,396.92

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Solution

The fourth proportional to 231,998.92, 320,158.38 and 131,396.92 is: 181,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,998.92 : 320,158.38 = 131,396.92 : x
  2. Step 2: Convert to fraction form
    231,998.92/320,158.38 = 131,396.92/x
  3. Step 3: Cross multiply
    231,998.92x = 320,158.38 × 131,396.92
  4. Step 4: Simplify right side
    231,998.92x = 42,067,825,044.19
  5. Step 5: Solve for x
    x = 42,067,825,044.19/231,998.92
  6. Step 6: Final answer
    x = 181,327.68

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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.