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Finding the Fourth Proportional to 269,361.82, 404,139.44 and 115,423.21

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Solution

The fourth proportional to 269,361.82, 404,139.44 and 115,423.21 is: 173,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,361.82 : 404,139.44 = 115,423.21 : x
  2. Step 2: Convert to fraction form
    269,361.82/404,139.44 = 115,423.21/x
  3. Step 3: Cross multiply
    269,361.82x = 404,139.44 × 115,423.21
  4. Step 4: Simplify right side
    269,361.82x = 46,647,072,246.13
  5. Step 5: Solve for x
    x = 46,647,072,246.13/269,361.82
  6. Step 6: Final answer
    x = 173,176.26

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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.