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Finding the Fourth Proportional to 215,960, 323,940.32 and 68,216

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Solution

The fourth proportional to 215,960, 323,940.32 and 68,216 is: 102,324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,960 : 323,940.32 = 68,216 : x
  2. Step 2: Convert to fraction form
    215,960/323,940.32 = 68,216/x
  3. Step 3: Cross multiply
    215,960x = 323,940.32 × 68,216
  4. Step 4: Simplify right side
    215,960x = 22,097,912,869.12
  5. Step 5: Solve for x
    x = 22,097,912,869.12/215,960
  6. Step 6: Final answer
    x = 102,324.10

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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.