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Finding the Fourth Proportional to 275,958.96, 413,858.49 and 107,441.73

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Solution

The fourth proportional to 275,958.96, 413,858.49 and 107,441.73 is: 161,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,958.96 : 413,858.49 = 107,441.73 : x
  2. Step 2: Convert to fraction form
    275,958.96/413,858.49 = 107,441.73/x
  3. Step 3: Cross multiply
    275,958.96x = 413,858.49 × 107,441.73
  4. Step 4: Simplify right side
    275,958.96x = 44,465,672,140.79
  5. Step 5: Solve for x
    x = 44,465,672,140.79/275,958.96
  6. Step 6: Final answer
    x = 161,131.47

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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.