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Finding the Fourth Proportional to 222,741.68, 307,385.62 and 120,766.88

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Solution

The fourth proportional to 222,741.68, 307,385.62 and 120,766.88 is: 166,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,741.68 : 307,385.62 = 120,766.88 : x
  2. Step 2: Convert to fraction form
    222,741.68/307,385.62 = 120,766.88/x
  3. Step 3: Cross multiply
    222,741.68x = 307,385.62 × 120,766.88
  4. Step 4: Simplify right side
    222,741.68x = 37,122,002,284.27
  5. Step 5: Solve for x
    x = 37,122,002,284.27/222,741.68
  6. Step 6: Final answer
    x = 166,659.43

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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.