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Finding the Fourth Proportional to 263,996.75, 364,313.32 and 149,297.91

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Solution

The fourth proportional to 263,996.75, 364,313.32 and 149,297.91 is: 206,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,996.75 : 364,313.32 = 149,297.91 : x
  2. Step 2: Convert to fraction form
    263,996.75/364,313.32 = 149,297.91/x
  3. Step 3: Cross multiply
    263,996.75x = 364,313.32 × 149,297.91
  4. Step 4: Simplify right side
    263,996.75x = 54,391,216,887.92
  5. Step 5: Solve for x
    x = 54,391,216,887.92/263,996.75
  6. Step 6: Final answer
    x = 206,029.87

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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.