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Finding the Fourth Proportional to 150,633.99, 207,874.80 and 82,651.37

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Solution

The fourth proportional to 150,633.99, 207,874.80 and 82,651.37 is: 114,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,633.99 : 207,874.80 = 82,651.37 : x
  2. Step 2: Convert to fraction form
    150,633.99/207,874.80 = 82,651.37/x
  3. Step 3: Cross multiply
    150,633.99x = 207,874.80 × 82,651.37
  4. Step 4: Simplify right side
    150,633.99x = 17,181,135,969.10
  5. Step 5: Solve for x
    x = 17,181,135,969.10/150,633.99
  6. Step 6: Final answer
    x = 114,058.83

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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.