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Finding the Fourth Proportional to 231,793.55, 319,838.56 and 135,013.33

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Solution

The fourth proportional to 231,793.55, 319,838.56 and 135,013.33 is: 186,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,793.55 : 319,838.56 = 135,013.33 : x
  2. Step 2: Convert to fraction form
    231,793.55/319,838.56 = 135,013.33/x
  3. Step 3: Cross multiply
    231,793.55x = 319,838.56 × 135,013.33
  4. Step 4: Simplify right side
    231,793.55x = 43,182,469,110.27
  5. Step 5: Solve for x
    x = 43,182,469,110.27/231,793.55
  6. Step 6: Final answer
    x = 186,297.11

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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.