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Finding the Fourth Proportional to 110,206.98, 165,179.25 and 76,745.88

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Solution

The fourth proportional to 110,206.98, 165,179.25 and 76,745.88 is: 115,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.98 : 165,179.25 = 76,745.88 : x
  2. Step 2: Convert to fraction form
    110,206.98/165,179.25 = 76,745.88/x
  3. Step 3: Cross multiply
    110,206.98x = 165,179.25 × 76,745.88
  4. Step 4: Simplify right side
    110,206.98x = 12,676,826,898.99
  5. Step 5: Solve for x
    x = 12,676,826,898.99/110,206.98
  6. Step 6: Final answer
    x = 115,027.44

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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.