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Finding the Fourth Proportional to 275,788.67, 413,706.83 and 76,109.09

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Solution

The fourth proportional to 275,788.67, 413,706.83 and 76,109.09 is: 114,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,788.67 : 413,706.83 = 76,109.09 : x
  2. Step 2: Convert to fraction form
    275,788.67/413,706.83 = 76,109.09/x
  3. Step 3: Cross multiply
    275,788.67x = 413,706.83 × 76,109.09
  4. Step 4: Simplify right side
    275,788.67x = 31,486,847,909.01
  5. Step 5: Solve for x
    x = 31,486,847,909.01/275,788.67
  6. Step 6: Final answer
    x = 114,170.20

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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.