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Finding the Fourth Proportional to 269,465.30, 404,255.55 and 82,495.70

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Solution

The fourth proportional to 269,465.30, 404,255.55 and 82,495.70 is: 123,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,465.30 : 404,255.55 = 82,495.70 : x
  2. Step 2: Convert to fraction form
    269,465.30/404,255.55 = 82,495.70/x
  3. Step 3: Cross multiply
    269,465.30x = 404,255.55 × 82,495.70
  4. Step 4: Simplify right side
    269,465.30x = 33,349,344,576.14
  5. Step 5: Solve for x
    x = 33,349,344,576.14/269,465.30
  6. Step 6: Final answer
    x = 123,761.18

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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.