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Finding the Fourth Proportional to 275,796.67, 413,718.83 and 76,117.09

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Solution

The fourth proportional to 275,796.67, 413,718.83 and 76,117.09 is: 114,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,796.67 : 413,718.83 = 76,117.09 : x
  2. Step 2: Convert to fraction form
    275,796.67/413,718.83 = 76,117.09/x
  3. Step 3: Cross multiply
    275,796.67x = 413,718.83 × 76,117.09
  4. Step 4: Simplify right side
    275,796.67x = 31,491,073,417.80
  5. Step 5: Solve for x
    x = 31,491,073,417.80/275,796.67
  6. Step 6: Final answer
    x = 114,182.21

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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.