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Finding the Fourth Proportional to 68,274.20, 102,780.14 and 61,408.10

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Solution

The fourth proportional to 68,274.20, 102,780.14 and 61,408.10 is: 92,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274.20 : 102,780.14 = 61,408.10 : x
  2. Step 2: Convert to fraction form
    68,274.20/102,780.14 = 61,408.10/x
  3. Step 3: Cross multiply
    68,274.20x = 102,780.14 × 61,408.10
  4. Step 4: Simplify right side
    68,274.20x = 6,311,533,115.13
  5. Step 5: Solve for x
    x = 6,311,533,115.13/68,274.20
  6. Step 6: Final answer
    x = 92,443.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.