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Finding the Fourth Proportional to 120,270.13, 165,961.49 and 71,862.41

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Solution

The fourth proportional to 120,270.13, 165,961.49 and 71,862.41 is: 99,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,270.13 : 165,961.49 = 71,862.41 : x
  2. Step 2: Convert to fraction form
    120,270.13/165,961.49 = 71,862.41/x
  3. Step 3: Cross multiply
    120,270.13x = 165,961.49 × 71,862.41
  4. Step 4: Simplify right side
    120,270.13x = 11,926,392,638.59
  5. Step 5: Solve for x
    x = 11,926,392,638.59/120,270.13
  6. Step 6: Final answer
    x = 99,163.38

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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.