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Finding the Fourth Proportional to 209,344, 288,893.30 and 113,850.44

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Solution

The fourth proportional to 209,344, 288,893.30 and 113,850.44 is: 157,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,344 : 288,893.30 = 113,850.44 : x
  2. Step 2: Convert to fraction form
    209,344/288,893.30 = 113,850.44/x
  3. Step 3: Cross multiply
    209,344x = 288,893.30 × 113,850.44
  4. Step 4: Simplify right side
    209,344x = 32,890,629,318.05
  5. Step 5: Solve for x
    x = 32,890,629,318.05/209,344
  6. Step 6: Final answer
    x = 157,112.83

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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.