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Finding the Fourth Proportional to 139,524.57, 209,286.86 and 41,028.57

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Solution

The fourth proportional to 139,524.57, 209,286.86 and 41,028.57 is: 61,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,524.57 : 209,286.86 = 41,028.57 : x
  2. Step 2: Convert to fraction form
    139,524.57/209,286.86 = 41,028.57/x
  3. Step 3: Cross multiply
    139,524.57x = 209,286.86 × 41,028.57
  4. Step 4: Simplify right side
    139,524.57x = 8,586,740,380.45
  5. Step 5: Solve for x
    x = 8,586,740,380.45/139,524.57
  6. Step 6: Final answer
    x = 61,542.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.