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Finding the Fourth Proportional to 275,850.35, 413,824.73 and 107,462.28

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Solution

The fourth proportional to 275,850.35, 413,824.73 and 107,462.28 is: 161,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,850.35 : 413,824.73 = 107,462.28 : x
  2. Step 2: Convert to fraction form
    275,850.35/413,824.73 = 107,462.28/x
  3. Step 3: Cross multiply
    275,850.35x = 413,824.73 × 107,462.28
  4. Step 4: Simplify right side
    275,850.35x = 44,470,548,468.87
  5. Step 5: Solve for x
    x = 44,470,548,468.87/275,850.35
  6. Step 6: Final answer
    x = 161,212.59

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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.