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Finding the Fourth Proportional to 150,078.56, 207,100.67 and 82,082.30

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Solution

The fourth proportional to 150,078.56, 207,100.67 and 82,082.30 is: 113,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,078.56 : 207,100.67 = 82,082.30 : x
  2. Step 2: Convert to fraction form
    150,078.56/207,100.67 = 82,082.30/x
  3. Step 3: Cross multiply
    150,078.56x = 207,100.67 × 82,082.30
  4. Step 4: Simplify right side
    150,078.56x = 16,999,297,879.23
  5. Step 5: Solve for x
    x = 16,999,297,879.23/150,078.56
  6. Step 6: Final answer
    x = 113,269.33

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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.