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Finding the Fourth Proportional to 268,874.98, 403,245.51 and 81,883.78

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Solution

The fourth proportional to 268,874.98, 403,245.51 and 81,883.78 is: 122,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,874.98 : 403,245.51 = 81,883.78 : x
  2. Step 2: Convert to fraction form
    268,874.98/403,245.51 = 81,883.78/x
  3. Step 3: Cross multiply
    268,874.98x = 403,245.51 × 81,883.78
  4. Step 4: Simplify right side
    268,874.98x = 33,019,266,626.83
  5. Step 5: Solve for x
    x = 33,019,266,626.83/268,874.98
  6. Step 6: Final answer
    x = 122,805.28

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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.