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Finding the Fourth Proportional to 150,736.82, 208,015.92 and 82,754.91

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Solution

The fourth proportional to 150,736.82, 208,015.92 and 82,754.91 is: 114,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,736.82 : 208,015.92 = 82,754.91 : x
  2. Step 2: Convert to fraction form
    150,736.82/208,015.92 = 82,754.91/x
  3. Step 3: Cross multiply
    150,736.82x = 208,015.92 × 82,754.91
  4. Step 4: Simplify right side
    150,736.82x = 17,214,338,738.17
  5. Step 5: Solve for x
    x = 17,214,338,738.17/150,736.82
  6. Step 6: Final answer
    x = 114,201.29

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1.5x scale

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.