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Finding the Fourth Proportional to 167,981.88, 231,815 and 92,530.38

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Solution

The fourth proportional to 167,981.88, 231,815 and 92,530.38 is: 127,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,981.88 : 231,815 = 92,530.38 : x
  2. Step 2: Convert to fraction form
    167,981.88/231,815 = 92,530.38/x
  3. Step 3: Cross multiply
    167,981.88x = 231,815 × 92,530.38
  4. Step 4: Simplify right side
    167,981.88x = 21,449,930,039.70
  5. Step 5: Solve for x
    x = 21,449,930,039.70/167,981.88
  6. Step 6: Final answer
    x = 127,691.93

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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.