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Finding the Fourth Proportional to 150,115.39, 207,157.39 and 82,131.38

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Solution

The fourth proportional to 150,115.39, 207,157.39 and 82,131.38 is: 113,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,115.39 : 207,157.39 = 82,131.38 : x
  2. Step 2: Convert to fraction form
    150,115.39/207,157.39 = 82,131.38/x
  3. Step 3: Cross multiply
    150,115.39x = 207,157.39 × 82,131.38
  4. Step 4: Simplify right side
    150,115.39x = 17,014,121,282.11
  5. Step 5: Solve for x
    x = 17,014,121,282.11/150,115.39
  6. Step 6: Final answer
    x = 113,340.29

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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.