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Finding the Fourth Proportional to 275,583.43, 413,214.24 and 106,906.64

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Solution

The fourth proportional to 275,583.43, 413,214.24 and 106,906.64 is: 160,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,583.43 : 413,214.24 = 106,906.64 : x
  2. Step 2: Convert to fraction form
    275,583.43/413,214.24 = 106,906.64/x
  3. Step 3: Cross multiply
    275,583.43x = 413,214.24 × 106,906.64
  4. Step 4: Simplify right side
    275,583.43x = 44,175,344,333.38
  5. Step 5: Solve for x
    x = 44,175,344,333.38/275,583.43
  6. Step 6: Final answer
    x = 160,297.53

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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.