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Finding the Fourth Proportional to 187,993, 281,997.18 and 47,755.24

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Solution

The fourth proportional to 187,993, 281,997.18 and 47,755.24 is: 71,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,993 : 281,997.18 = 47,755.24 : x
  2. Step 2: Convert to fraction form
    187,993/281,997.18 = 47,755.24/x
  3. Step 3: Cross multiply
    187,993x = 281,997.18 × 47,755.24
  4. Step 4: Simplify right side
    187,993x = 13,466,843,010.22
  5. Step 5: Solve for x
    x = 13,466,843,010.22/187,993
  6. Step 6: Final answer
    x = 71,634.81

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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.