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Finding the Fourth Proportional to 150,224.96, 207,310.11 and 82,241.38

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Solution

The fourth proportional to 150,224.96, 207,310.11 and 82,241.38 is: 113,492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,224.96 : 207,310.11 = 82,241.38 : x
  2. Step 2: Convert to fraction form
    150,224.96/207,310.11 = 82,241.38/x
  3. Step 3: Cross multiply
    150,224.96x = 207,310.11 × 82,241.38
  4. Step 4: Simplify right side
    150,224.96x = 17,049,468,497.80
  5. Step 5: Solve for x
    x = 17,049,468,497.80/150,224.96
  6. Step 6: Final answer
    x = 113,492.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.