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Finding the Fourth Proportional to 150,197.44, 207,269.12 and 82,214.24

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Solution

The fourth proportional to 150,197.44, 207,269.12 and 82,214.24 is: 113,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,197.44 : 207,269.12 = 82,214.24 : x
  2. Step 2: Convert to fraction form
    150,197.44/207,269.12 = 82,214.24/x
  3. Step 3: Cross multiply
    150,197.44x = 207,269.12 × 82,214.24
  4. Step 4: Simplify right side
    150,197.44x = 17,040,473,176.27
  5. Step 5: Solve for x
    x = 17,040,473,176.27/150,197.44
  6. Step 6: Final answer
    x = 113,453.82

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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.