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Finding the Fourth Proportional to 275,297.73, 413,097.05 and 106,824.66

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Solution

The fourth proportional to 275,297.73, 413,097.05 and 106,824.66 is: 160,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,297.73 : 413,097.05 = 106,824.66 : x
  2. Step 2: Convert to fraction form
    275,297.73/413,097.05 = 106,824.66/x
  3. Step 3: Cross multiply
    275,297.73x = 413,097.05 × 106,824.66
  4. Step 4: Simplify right side
    275,297.73x = 44,128,951,913.25
  5. Step 5: Solve for x
    x = 44,128,951,913.25/275,297.73
  6. Step 6: Final answer
    x = 160,295.37

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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.