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Finding the Fourth Proportional to 120,832.80, 166,742.16 and 67,114.68

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Solution

The fourth proportional to 120,832.80, 166,742.16 and 67,114.68 is: 92,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832.80 : 166,742.16 = 67,114.68 : x
  2. Step 2: Convert to fraction form
    120,832.80/166,742.16 = 67,114.68/x
  3. Step 3: Cross multiply
    120,832.80x = 166,742.16 × 67,114.68
  4. Step 4: Simplify right side
    120,832.80x = 11,190,846,710.91
  5. Step 5: Solve for x
    x = 11,190,846,710.91/120,832.80
  6. Step 6: Final answer
    x = 92,614.31

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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.