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Finding the Fourth Proportional to 120,091.92, 165,735.44 and 66,375.78

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Solution

The fourth proportional to 120,091.92, 165,735.44 and 66,375.78 is: 91,603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,091.92 : 165,735.44 = 66,375.78 : x
  2. Step 2: Convert to fraction form
    120,091.92/165,735.44 = 66,375.78/x
  3. Step 3: Cross multiply
    120,091.92x = 165,735.44 × 66,375.78
  4. Step 4: Simplify right side
    120,091.92x = 11,000,819,020.67
  5. Step 5: Solve for x
    x = 11,000,819,020.67/120,091.92
  6. Step 6: Final answer
    x = 91,603.32

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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.