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Finding the Fourth Proportional to 234,427, 351,698.82 and 68,215

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Solution

The fourth proportional to 234,427, 351,698.82 and 68,215 is: 102,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,427 : 351,698.82 = 68,215 : x
  2. Step 2: Convert to fraction form
    234,427/351,698.82 = 68,215/x
  3. Step 3: Cross multiply
    234,427x = 351,698.82 × 68,215
  4. Step 4: Simplify right side
    234,427x = 23,991,135,006.30
  5. Step 5: Solve for x
    x = 23,991,135,006.30/234,427
  6. Step 6: Final answer
    x = 102,339.47

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Why These Related Problems?

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