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Finding the Fourth Proportional to 225,401.74, 311,058.22 and 123,425.57

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Solution

The fourth proportional to 225,401.74, 311,058.22 and 123,425.57 is: 170,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,401.74 : 311,058.22 = 123,425.57 : x
  2. Step 2: Convert to fraction form
    225,401.74/311,058.22 = 123,425.57/x
  3. Step 3: Cross multiply
    225,401.74x = 311,058.22 × 123,425.57
  4. Step 4: Simplify right side
    225,401.74x = 38,392,538,106.69
  5. Step 5: Solve for x
    x = 38,392,538,106.69/225,401.74
  6. Step 6: Final answer
    x = 170,329.38

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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.