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Finding the Fourth Proportional to 208,838.20, 313,257.30 and 68,601.40

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Solution

The fourth proportional to 208,838.20, 313,257.30 and 68,601.40 is: 102,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,838.20 : 313,257.30 = 68,601.40 : x
  2. Step 2: Convert to fraction form
    208,838.20/313,257.30 = 68,601.40/x
  3. Step 3: Cross multiply
    208,838.20x = 313,257.30 × 68,601.40
  4. Step 4: Simplify right side
    208,838.20x = 21,489,889,340.22
  5. Step 5: Solve for x
    x = 21,489,889,340.22/208,838.20
  6. Step 6: Final answer
    x = 102,902.10

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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.