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Finding the Fourth Proportional to 119,692.98, 165,183.30 and 65,989.44

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Solution

The fourth proportional to 119,692.98, 165,183.30 and 65,989.44 is: 91,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,692.98 : 165,183.30 = 65,989.44 : x
  2. Step 2: Convert to fraction form
    119,692.98/165,183.30 = 65,989.44/x
  3. Step 3: Cross multiply
    119,692.98x = 165,183.30 × 65,989.44
  4. Step 4: Simplify right side
    119,692.98x = 10,900,353,464.35
  5. Step 5: Solve for x
    x = 10,900,353,464.35/119,692.98
  6. Step 6: Final answer
    x = 91,069.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.