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Finding the Fourth Proportional to 121,694.88, 167,985.12 and 91,567.78

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Solution

The fourth proportional to 121,694.88, 167,985.12 and 91,567.78 is: 126,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,694.88 : 167,985.12 = 91,567.78 : x
  2. Step 2: Convert to fraction form
    121,694.88/167,985.12 = 91,567.78/x
  3. Step 3: Cross multiply
    121,694.88x = 167,985.12 × 91,567.78
  4. Step 4: Simplify right side
    121,694.88x = 15,382,024,511.43
  5. Step 5: Solve for x
    x = 15,382,024,511.43/121,694.88
  6. Step 6: Final answer
    x = 126,398.29

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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.