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Finding the Fourth Proportional to 199,819.20, 299,728.80 and 188,932.80

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Solution

The fourth proportional to 199,819.20, 299,728.80 and 188,932.80 is: 283,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,819.20 : 299,728.80 = 188,932.80 : x
  2. Step 2: Convert to fraction form
    199,819.20/299,728.80 = 188,932.80/x
  3. Step 3: Cross multiply
    199,819.20x = 299,728.80 × 188,932.80
  4. Step 4: Simplify right side
    199,819.20x = 56,628,601,424.64
  5. Step 5: Solve for x
    x = 56,628,601,424.64/199,819.20
  6. Step 6: Final answer
    x = 283,399.20

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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.