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Finding the Fourth Proportional to 192,745.40, 288,951.78 and 92,768.05

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Solution

The fourth proportional to 192,745.40, 288,951.78 and 92,768.05 is: 139,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,745.40 : 288,951.78 = 92,768.05 : x
  2. Step 2: Convert to fraction form
    192,745.40/288,951.78 = 92,768.05/x
  3. Step 3: Cross multiply
    192,745.40x = 288,951.78 × 92,768.05
  4. Step 4: Simplify right side
    192,745.40x = 26,805,491,729.87
  5. Step 5: Solve for x
    x = 26,805,491,729.87/192,745.40
  6. Step 6: Final answer
    x = 139,072.02

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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.