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Finding the Fourth Proportional to 234,219, 351,338.22 and 68,007

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Solution

The fourth proportional to 234,219, 351,338.22 and 68,007 is: 102,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,219 : 351,338.22 = 68,007 : x
  2. Step 2: Convert to fraction form
    234,219/351,338.22 = 68,007/x
  3. Step 3: Cross multiply
    234,219x = 351,338.22 × 68,007
  4. Step 4: Simplify right side
    234,219x = 23,893,458,327.54
  5. Step 5: Solve for x
    x = 23,893,458,327.54/234,219
  6. Step 6: Final answer
    x = 102,013.32

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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.