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Finding the Fourth Proportional to 269,314.70, 403,874.85 and 136,150.70

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Solution

The fourth proportional to 269,314.70, 403,874.85 and 136,150.70 is: 204,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,314.70 : 403,874.85 = 136,150.70 : x
  2. Step 2: Convert to fraction form
    269,314.70/403,874.85 = 136,150.70/x
  3. Step 3: Cross multiply
    269,314.70x = 403,874.85 × 136,150.70
  4. Step 4: Simplify right side
    269,314.70x = 54,987,843,539.90
  5. Step 5: Solve for x
    x = 54,987,843,539.90/269,314.70
  6. Step 6: Final answer
    x = 204,176.91

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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.