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Finding the Fourth Proportional to 220,783.20, 330,834.60 and 164,358.60

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Solution

The fourth proportional to 220,783.20, 330,834.60 and 164,358.60 is: 246,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,783.20 : 330,834.60 = 164,358.60 : x
  2. Step 2: Convert to fraction form
    220,783.20/330,834.60 = 164,358.60/x
  3. Step 3: Cross multiply
    220,783.20x = 330,834.60 × 164,358.60
  4. Step 4: Simplify right side
    220,783.20x = 54,375,511,687.56
  5. Step 5: Solve for x
    x = 54,375,511,687.56/220,783.20
  6. Step 6: Final answer
    x = 246,284.64

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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.