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Finding the Fourth Proportional to 110,406.70, 165,658.65 and 51,211.90

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Solution

The fourth proportional to 110,406.70, 165,658.65 and 51,211.90 is: 76,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,406.70 : 165,658.65 = 51,211.90 : x
  2. Step 2: Convert to fraction form
    110,406.70/165,658.65 = 51,211.90/x
  3. Step 3: Cross multiply
    110,406.70x = 165,658.65 × 51,211.90
  4. Step 4: Simplify right side
    110,406.70x = 8,483,694,217.94
  5. Step 5: Solve for x
    x = 8,483,694,217.94/110,406.70
  6. Step 6: Final answer
    x = 76,840.39

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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.