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Finding the Fourth Proportional to 120,405.69, 166,161.24 and 66,691.76

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Solution

The fourth proportional to 120,405.69, 166,161.24 and 66,691.76 is: 92,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.69 : 166,161.24 = 66,691.76 : x
  2. Step 2: Convert to fraction form
    120,405.69/166,161.24 = 66,691.76/x
  3. Step 3: Cross multiply
    120,405.69x = 166,161.24 × 66,691.76
  4. Step 4: Simplify right side
    120,405.69x = 11,081,584,708.58
  5. Step 5: Solve for x
    x = 11,081,584,708.58/120,405.69
  6. Step 6: Final answer
    x = 92,035.39

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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.