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Finding the Fourth Proportional to 120,201.32, 166,013.96 and 81,894.39

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Solution

The fourth proportional to 120,201.32, 166,013.96 and 81,894.39 is: 113,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,201.32 : 166,013.96 = 81,894.39 : x
  2. Step 2: Convert to fraction form
    120,201.32/166,013.96 = 81,894.39/x
  3. Step 3: Cross multiply
    120,201.32x = 166,013.96 × 81,894.39
  4. Step 4: Simplify right side
    120,201.32x = 13,595,611,576.21
  5. Step 5: Solve for x
    x = 13,595,611,576.21/120,201.32
  6. Step 6: Final answer
    x = 113,107.01

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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.