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Finding the Fourth Proportional to 150,158.38, 207,218.58 and 82,175.38

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Solution

The fourth proportional to 150,158.38, 207,218.58 and 82,175.38 is: 113,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,158.38 : 207,218.58 = 82,175.38 : x
  2. Step 2: Convert to fraction form
    150,158.38/207,218.58 = 82,175.38/x
  3. Step 3: Cross multiply
    150,158.38x = 207,218.58 × 82,175.38
  4. Step 4: Simplify right side
    150,158.38x = 17,028,265,554.56
  5. Step 5: Solve for x
    x = 17,028,265,554.56/150,158.38
  6. Step 6: Final answer
    x = 113,402.03

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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.