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Finding the Fourth Proportional to 120,612.70, 166,438.74 and 66,893.86

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Solution

The fourth proportional to 120,612.70, 166,438.74 and 66,893.86 is: 92,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,612.70 : 166,438.74 = 66,893.86 : x
  2. Step 2: Convert to fraction form
    120,612.70/166,438.74 = 66,893.86/x
  3. Step 3: Cross multiply
    120,612.70x = 166,438.74 × 66,893.86
  4. Step 4: Simplify right side
    120,612.70x = 11,133,729,772.14
  5. Step 5: Solve for x
    x = 11,133,729,772.14/120,612.70
  6. Step 6: Final answer
    x = 92,309.76

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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.