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Finding the Fourth Proportional to 275,414.44, 413,123.96 and 75,745.77

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Solution

The fourth proportional to 275,414.44, 413,123.96 and 75,745.77 is: 113,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,414.44 : 413,123.96 = 75,745.77 : x
  2. Step 2: Convert to fraction form
    275,414.44/413,123.96 = 75,745.77/x
  3. Step 3: Cross multiply
    275,414.44x = 413,123.96 × 75,745.77
  4. Step 4: Simplify right side
    275,414.44x = 31,292,393,910.18
  5. Step 5: Solve for x
    x = 31,292,393,910.18/275,414.44
  6. Step 6: Final answer
    x = 113,619.29

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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.