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Finding the Fourth Proportional to 110,408.70, 165,661.65 and 51,213.90

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Solution

The fourth proportional to 110,408.70, 165,661.65 and 51,213.90 is: 76,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,408.70 : 165,661.65 = 51,213.90 : x
  2. Step 2: Convert to fraction form
    110,408.70/165,661.65 = 51,213.90/x
  3. Step 3: Cross multiply
    110,408.70x = 165,661.65 × 51,213.90
  4. Step 4: Simplify right side
    110,408.70x = 8,484,179,176.94
  5. Step 5: Solve for x
    x = 8,484,179,176.94/110,408.70
  6. Step 6: Final answer
    x = 76,843.39

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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.