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Finding the Fourth Proportional to 141,678.56, 195,516.42 and 78,016.21

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Solution

The fourth proportional to 141,678.56, 195,516.42 and 78,016.21 is: 107,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,678.56 : 195,516.42 = 78,016.21 : x
  2. Step 2: Convert to fraction form
    141,678.56/195,516.42 = 78,016.21/x
  3. Step 3: Cross multiply
    141,678.56x = 195,516.42 × 78,016.21
  4. Step 4: Simplify right side
    141,678.56x = 15,253,449,299.82
  5. Step 5: Solve for x
    x = 15,253,449,299.82/141,678.56
  6. Step 6: Final answer
    x = 107,662.37

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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.