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Finding the Fourth Proportional to 226,864.75, 313,073.37 and 126,286.51

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Solution

The fourth proportional to 226,864.75, 313,073.37 and 126,286.51 is: 174,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,864.75 : 313,073.37 = 126,286.51 : x
  2. Step 2: Convert to fraction form
    226,864.75/313,073.37 = 126,286.51/x
  3. Step 3: Cross multiply
    226,864.75x = 313,073.37 × 126,286.51
  4. Step 4: Simplify right side
    226,864.75x = 39,536,943,271.24
  5. Step 5: Solve for x
    x = 39,536,943,271.24/226,864.75
  6. Step 6: Final answer
    x = 174,275.39

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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.