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Finding the Fourth Proportional to 120,694.20, 181,214.10 and 68,206.20

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Solution

The fourth proportional to 120,694.20, 181,214.10 and 68,206.20 is: 102,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694.20 : 181,214.10 = 68,206.20 : x
  2. Step 2: Convert to fraction form
    120,694.20/181,214.10 = 68,206.20/x
  3. Step 3: Cross multiply
    120,694.20x = 181,214.10 × 68,206.20
  4. Step 4: Simplify right side
    120,694.20x = 12,359,925,147.42
  5. Step 5: Solve for x
    x = 12,359,925,147.42/120,694.20
  6. Step 6: Final answer
    x = 102,406.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.