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Finding the Fourth Proportional to 120,092.71, 179,993.40 and 88,207.11

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Solution

The fourth proportional to 120,092.71, 179,993.40 and 88,207.11 is: 132,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.71 : 179,993.40 = 88,207.11 : x
  2. Step 2: Convert to fraction form
    120,092.71/179,993.40 = 88,207.11/x
  3. Step 3: Cross multiply
    120,092.71x = 179,993.40 × 88,207.11
  4. Step 4: Simplify right side
    120,092.71x = 15,876,697,633.07
  5. Step 5: Solve for x
    x = 15,876,697,633.07/120,092.71
  6. Step 6: Final answer
    x = 132,203.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.