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Finding the Fourth Proportional to 120,541.44, 166,347 and 72,785.44

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Solution

The fourth proportional to 120,541.44, 166,347 and 72,785.44 is: 100,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,541.44 : 166,347 = 72,785.44 : x
  2. Step 2: Convert to fraction form
    120,541.44/166,347 = 72,785.44/x
  3. Step 3: Cross multiply
    120,541.44x = 166,347 × 72,785.44
  4. Step 4: Simplify right side
    120,541.44x = 12,107,639,587.68
  5. Step 5: Solve for x
    x = 12,107,639,587.68/120,541.44
  6. Step 6: Final answer
    x = 100,443.79

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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.