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Finding the Fourth Proportional to 102,716.89, 141,750 and 57,396.78

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Solution

The fourth proportional to 102,716.89, 141,750 and 57,396.78 is: 79,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,716.89 : 141,750 = 57,396.78 : x
  2. Step 2: Convert to fraction form
    102,716.89/141,750 = 57,396.78/x
  3. Step 3: Cross multiply
    102,716.89x = 141,750 × 57,396.78
  4. Step 4: Simplify right side
    102,716.89x = 8,135,993,565
  5. Step 5: Solve for x
    x = 8,135,993,565/102,716.89
  6. Step 6: Final answer
    x = 79,207.95

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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.