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Finding the Fourth Proportional to 120,149.54, 165,794.67 and 66,427.20

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Solution

The fourth proportional to 120,149.54, 165,794.67 and 66,427.20 is: 91,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,149.54 : 165,794.67 = 66,427.20 : x
  2. Step 2: Convert to fraction form
    120,149.54/165,794.67 = 66,427.20/x
  3. Step 3: Cross multiply
    120,149.54x = 165,794.67 × 66,427.20
  4. Step 4: Simplify right side
    120,149.54x = 11,013,275,703.02
  5. Step 5: Solve for x
    x = 11,013,275,703.02/120,149.54
  6. Step 6: Final answer
    x = 91,663.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.