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Finding the Fourth Proportional to 199,629.20, 299,443.80 and 179,946.20

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Solution

The fourth proportional to 199,629.20, 299,443.80 and 179,946.20 is: 269,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,629.20 : 299,443.80 = 179,946.20 : x
  2. Step 2: Convert to fraction form
    199,629.20/299,443.80 = 179,946.20/x
  3. Step 3: Cross multiply
    199,629.20x = 299,443.80 × 179,946.20
  4. Step 4: Simplify right side
    199,629.20x = 53,883,773,923.56
  5. Step 5: Solve for x
    x = 53,883,773,923.56/199,629.20
  6. Step 6: Final answer
    x = 269,919.30

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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.