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Finding the Fourth Proportional to 225,777, 338,622.10 and 113,427.12

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Solution

The fourth proportional to 225,777, 338,622.10 and 113,427.12 is: 170,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,777 : 338,622.10 = 113,427.12 : x
  2. Step 2: Convert to fraction form
    225,777/338,622.10 = 113,427.12/x
  3. Step 3: Cross multiply
    225,777x = 338,622.10 × 113,427.12
  4. Step 4: Simplify right side
    225,777x = 38,408,929,571.35
  5. Step 5: Solve for x
    x = 38,408,929,571.35/225,777
  6. Step 6: Final answer
    x = 170,118.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.