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Finding the Fourth Proportional to 275,755.65, 413,584.20 and 73,352.85

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Solution

The fourth proportional to 275,755.65, 413,584.20 and 73,352.85 is: 110,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,755.65 : 413,584.20 = 73,352.85 : x
  2. Step 2: Convert to fraction form
    275,755.65/413,584.20 = 73,352.85/x
  3. Step 3: Cross multiply
    275,755.65x = 413,584.20 × 73,352.85
  4. Step 4: Simplify right side
    275,755.65x = 30,337,579,784.97
  5. Step 5: Solve for x
    x = 30,337,579,784.97/275,755.65
  6. Step 6: Final answer
    x = 110,016.17

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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.