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Finding the Fourth Proportional to 269,104.80, 403,653.96 and 82,116.84

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Solution

The fourth proportional to 269,104.80, 403,653.96 and 82,116.84 is: 123,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,104.80 : 403,653.96 = 82,116.84 : x
  2. Step 2: Convert to fraction form
    269,104.80/403,653.96 = 82,116.84/x
  3. Step 3: Cross multiply
    269,104.80x = 403,653.96 × 82,116.84
  4. Step 4: Simplify right side
    269,104.80x = 33,146,787,648.69
  5. Step 5: Solve for x
    x = 33,146,787,648.69/269,104.80
  6. Step 6: Final answer
    x = 123,174.27

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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.