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Finding the Fourth Proportional to 226,805.24, 312,993.24 and 126,203.24

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Solution

The fourth proportional to 226,805.24, 312,993.24 and 126,203.24 is: 174,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,805.24 : 312,993.24 = 126,203.24 : x
  2. Step 2: Convert to fraction form
    226,805.24/312,993.24 = 126,203.24/x
  3. Step 3: Cross multiply
    226,805.24x = 312,993.24 × 126,203.24
  4. Step 4: Simplify right side
    226,805.24x = 39,500,760,986.10
  5. Step 5: Solve for x
    x = 39,500,760,986.10/226,805.24
  6. Step 6: Final answer
    x = 174,161.59

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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.