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Finding the Fourth Proportional to 102,515.50, 141,471.18 and 57,190.78

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Solution

The fourth proportional to 102,515.50, 141,471.18 and 57,190.78 is: 78,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,515.50 : 141,471.18 = 57,190.78 : x
  2. Step 2: Convert to fraction form
    102,515.50/141,471.18 = 57,190.78/x
  3. Step 3: Cross multiply
    102,515.50x = 141,471.18 × 57,190.78
  4. Step 4: Simplify right side
    102,515.50x = 8,090,846,476.80
  5. Step 5: Solve for x
    x = 8,090,846,476.80/102,515.50
  6. Step 6: Final answer
    x = 78,923.16

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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.