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Finding the Fourth Proportional to 220,692.20, 330,698.10 and 164,267.60

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Solution

The fourth proportional to 220,692.20, 330,698.10 and 164,267.60 is: 246,148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,692.20 : 330,698.10 = 164,267.60 : x
  2. Step 2: Convert to fraction form
    220,692.20/330,698.10 = 164,267.60/x
  3. Step 3: Cross multiply
    220,692.20x = 330,698.10 × 164,267.60
  4. Step 4: Simplify right side
    220,692.20x = 54,322,983,211.56
  5. Step 5: Solve for x
    x = 54,322,983,211.56/220,692.20
  6. Step 6: Final answer
    x = 246,148.18

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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.