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Finding the Fourth Proportional to 150,358.67, 207,494.84 and 82,379.87

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Solution

The fourth proportional to 150,358.67, 207,494.84 and 82,379.87 is: 113,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,358.67 : 207,494.84 = 82,379.87 : x
  2. Step 2: Convert to fraction form
    150,358.67/207,494.84 = 82,379.87/x
  3. Step 3: Cross multiply
    150,358.67x = 207,494.84 × 82,379.87
  4. Step 4: Simplify right side
    150,358.67x = 17,093,396,495.50
  5. Step 5: Solve for x
    x = 17,093,396,495.50/150,358.67
  6. Step 6: Final answer
    x = 113,684.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.