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Finding the Fourth Proportional to 275,581.73, 413,211.71 and 106,904.96

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Solution

The fourth proportional to 275,581.73, 413,211.71 and 106,904.96 is: 160,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,581.73 : 413,211.71 = 106,904.96 : x
  2. Step 2: Convert to fraction form
    275,581.73/413,211.71 = 106,904.96/x
  3. Step 3: Cross multiply
    275,581.73x = 413,211.71 × 106,904.96
  4. Step 4: Simplify right side
    275,581.73x = 44,174,383,404.15
  5. Step 5: Solve for x
    x = 44,174,383,404.15/275,581.73
  6. Step 6: Final answer
    x = 160,295.04

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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.