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Finding the Fourth Proportional to 102,441.92, 141,371.36 and 57,118.56

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Solution

The fourth proportional to 102,441.92, 141,371.36 and 57,118.56 is: 78,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,441.92 : 141,371.36 = 57,118.56 : x
  2. Step 2: Convert to fraction form
    102,441.92/141,371.36 = 57,118.56/x
  3. Step 3: Cross multiply
    102,441.92x = 141,371.36 × 57,118.56
  4. Step 4: Simplify right side
    102,441.92x = 8,074,928,508.44
  5. Step 5: Solve for x
    x = 8,074,928,508.44/102,441.92
  6. Step 6: Final answer
    x = 78,824.45

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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.