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Finding the Fourth Proportional to 167,782.41, 231,549.70 and 96,167.07

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Solution

The fourth proportional to 167,782.41, 231,549.70 and 96,167.07 is: 132,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,782.41 : 231,549.70 = 96,167.07 : x
  2. Step 2: Convert to fraction form
    167,782.41/231,549.70 = 96,167.07/x
  3. Step 3: Cross multiply
    167,782.41x = 231,549.70 × 96,167.07
  4. Step 4: Simplify right side
    167,782.41x = 22,267,456,208.38
  5. Step 5: Solve for x
    x = 22,267,456,208.38/167,782.41
  6. Step 6: Final answer
    x = 132,716.27

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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.