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Finding the Fourth Proportional to 120,700.33, 166,555.45 and 71,633.49

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Solution

The fourth proportional to 120,700.33, 166,555.45 and 71,633.49 is: 98,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,700.33 : 166,555.45 = 71,633.49 : x
  2. Step 2: Convert to fraction form
    120,700.33/166,555.45 = 71,633.49/x
  3. Step 3: Cross multiply
    120,700.33x = 166,555.45 × 71,633.49
  4. Step 4: Simplify right side
    120,700.33x = 11,930,948,162.02
  5. Step 5: Solve for x
    x = 11,930,948,162.02/120,700.33
  6. Step 6: Final answer
    x = 98,847.68

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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.