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Finding the Fourth Proportional to 121,532.88, 167,524.38 and 83,226.18

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Solution

The fourth proportional to 121,532.88, 167,524.38 and 83,226.18 is: 114,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,532.88 : 167,524.38 = 83,226.18 : x
  2. Step 2: Convert to fraction form
    121,532.88/167,524.38 = 83,226.18/x
  3. Step 3: Cross multiply
    121,532.88x = 167,524.38 × 83,226.18
  4. Step 4: Simplify right side
    121,532.88x = 13,942,414,204.27
  5. Step 5: Solve for x
    x = 13,942,414,204.27/121,532.88
  6. Step 6: Final answer
    x = 114,721.33

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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.