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Finding the Fourth Proportional to 120,177.94, 165,850.74 and 66,462.97

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Solution

The fourth proportional to 120,177.94, 165,850.74 and 66,462.97 is: 91,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177.94 : 165,850.74 = 66,462.97 : x
  2. Step 2: Convert to fraction form
    120,177.94/165,850.74 = 66,462.97/x
  3. Step 3: Cross multiply
    120,177.94x = 165,850.74 × 66,462.97
  4. Step 4: Simplify right side
    120,177.94x = 11,022,932,757.10
  5. Step 5: Solve for x
    x = 11,022,932,757.10/120,177.94
  6. Step 6: Final answer
    x = 91,721.76

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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.