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Finding the Fourth Proportional to 234,103.14, 351,213 and 67,891.14

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Solution

The fourth proportional to 234,103.14, 351,213 and 67,891.14 is: 101,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,103.14 : 351,213 = 67,891.14 : x
  2. Step 2: Convert to fraction form
    234,103.14/351,213 = 67,891.14/x
  3. Step 3: Cross multiply
    234,103.14x = 351,213 × 67,891.14
  4. Step 4: Simplify right side
    234,103.14x = 23,844,250,952.82
  5. Step 5: Solve for x
    x = 23,844,250,952.82/234,103.14
  6. Step 6: Final answer
    x = 101,853.61

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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.