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Finding the Fourth Proportional to 275,906.21, 413,771.82 and 118,092.29

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Solution

The fourth proportional to 275,906.21, 413,771.82 and 118,092.29 is: 177,100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906.21 : 413,771.82 = 118,092.29 : x
  2. Step 2: Convert to fraction form
    275,906.21/413,771.82 = 118,092.29/x
  3. Step 3: Cross multiply
    275,906.21x = 413,771.82 × 118,092.29
  4. Step 4: Simplify right side
    275,906.21x = 48,863,259,692.41
  5. Step 5: Solve for x
    x = 48,863,259,692.41/275,906.21
  6. Step 6: Final answer
    x = 177,100.98

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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.