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Finding the Fourth Proportional to 311,667, 467,578.26 and 90,051

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Solution

The fourth proportional to 311,667, 467,578.26 and 90,051 is: 135,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,667 : 467,578.26 = 90,051 : x
  2. Step 2: Convert to fraction form
    311,667/467,578.26 = 90,051/x
  3. Step 3: Cross multiply
    311,667x = 467,578.26 × 90,051
  4. Step 4: Simplify right side
    311,667x = 42,105,889,891.26
  5. Step 5: Solve for x
    x = 42,105,889,891.26/311,667
  6. Step 6: Final answer
    x = 135,098.97

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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.