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Finding the Fourth Proportional to 120,177.68, 165,826.78 and 69,180.56

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Solution

The fourth proportional to 120,177.68, 165,826.78 and 69,180.56 is: 95,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177.68 : 165,826.78 = 69,180.56 : x
  2. Step 2: Convert to fraction form
    120,177.68/165,826.78 = 69,180.56/x
  3. Step 3: Cross multiply
    120,177.68x = 165,826.78 × 69,180.56
  4. Step 4: Simplify right side
    120,177.68x = 11,471,988,682.52
  5. Step 5: Solve for x
    x = 11,471,988,682.52/120,177.68
  6. Step 6: Final answer
    x = 95,458.56

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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.