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Finding the Fourth Proportional to 223,843.20, 335,764.80 and 194,683.20

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Solution

The fourth proportional to 223,843.20, 335,764.80 and 194,683.20 is: 292,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,843.20 : 335,764.80 = 194,683.20 : x
  2. Step 2: Convert to fraction form
    223,843.20/335,764.80 = 194,683.20/x
  3. Step 3: Cross multiply
    223,843.20x = 335,764.80 × 194,683.20
  4. Step 4: Simplify right side
    223,843.20x = 65,367,765,711.36
  5. Step 5: Solve for x
    x = 65,367,765,711.36/223,843.20
  6. Step 6: Final answer
    x = 292,024.80

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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.