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Finding the Fourth Proportional to 120,229.25, 165,924.05 and 67,237.25

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Solution

The fourth proportional to 120,229.25, 165,924.05 and 67,237.25 is: 92,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,229.25 : 165,924.05 = 67,237.25 : x
  2. Step 2: Convert to fraction form
    120,229.25/165,924.05 = 67,237.25/x
  3. Step 3: Cross multiply
    120,229.25x = 165,924.05 × 67,237.25
  4. Step 4: Simplify right side
    120,229.25x = 11,156,276,494.68
  5. Step 5: Solve for x
    x = 11,156,276,494.68/120,229.25
  6. Step 6: Final answer
    x = 92,791.70

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1.5x scale

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.