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Finding the Fourth Proportional to 187,832.27, 281,794.50 and 54,713.76

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Solution

The fourth proportional to 187,832.27, 281,794.50 and 54,713.76 is: 82,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,832.27 : 281,794.50 = 54,713.76 : x
  2. Step 2: Convert to fraction form
    187,832.27/281,794.50 = 54,713.76/x
  3. Step 3: Cross multiply
    187,832.27x = 281,794.50 × 54,713.76
  4. Step 4: Simplify right side
    187,832.27x = 15,418,036,642.32
  5. Step 5: Solve for x
    x = 15,418,036,642.32/187,832.27
  6. Step 6: Final answer
    x = 82,084.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.