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Finding the Fourth Proportional to 102,540.81, 141,517.26 and 57,234.54

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Solution

The fourth proportional to 102,540.81, 141,517.26 and 57,234.54 is: 78,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540.81 : 141,517.26 = 57,234.54 : x
  2. Step 2: Convert to fraction form
    102,540.81/141,517.26 = 57,234.54/x
  3. Step 3: Cross multiply
    102,540.81x = 141,517.26 × 57,234.54
  4. Step 4: Simplify right side
    102,540.81x = 8,099,675,278.16
  5. Step 5: Solve for x
    x = 8,099,675,278.16/102,540.81
  6. Step 6: Final answer
    x = 78,989.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.