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Finding the Fourth Proportional to 100,245.08, 138,022.62 and 85,107.80

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Solution

The fourth proportional to 100,245.08, 138,022.62 and 85,107.80 is: 117,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,245.08 : 138,022.62 = 85,107.80 : x
  2. Step 2: Convert to fraction form
    100,245.08/138,022.62 = 85,107.80/x
  3. Step 3: Cross multiply
    100,245.08x = 138,022.62 × 85,107.80
  4. Step 4: Simplify right side
    100,245.08x = 11,746,801,538.44
  5. Step 5: Solve for x
    x = 11,746,801,538.44/100,245.08
  6. Step 6: Final answer
    x = 117,180.83

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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.