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Finding the Fourth Proportional to 225,408.99, 338,150.42 and 107,040.35

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Solution

The fourth proportional to 225,408.99, 338,150.42 and 107,040.35 is: 160,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,408.99 : 338,150.42 = 107,040.35 : x
  2. Step 2: Convert to fraction form
    225,408.99/338,150.42 = 107,040.35/x
  3. Step 3: Cross multiply
    225,408.99x = 338,150.42 × 107,040.35
  4. Step 4: Simplify right side
    225,408.99x = 36,195,737,083.49
  5. Step 5: Solve for x
    x = 36,195,737,083.49/225,408.99
  6. Step 6: Final answer
    x = 160,578.05

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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.