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Finding the Fourth Proportional to 199,642.20, 299,463.30 and 179,959.20

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Solution

The fourth proportional to 199,642.20, 299,463.30 and 179,959.20 is: 269,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.20 : 299,463.30 = 179,959.20 : x
  2. Step 2: Convert to fraction form
    199,642.20/299,463.30 = 179,959.20/x
  3. Step 3: Cross multiply
    199,642.20x = 299,463.30 × 179,959.20
  4. Step 4: Simplify right side
    199,642.20x = 53,891,175,897.36
  5. Step 5: Solve for x
    x = 53,891,175,897.36/199,642.20
  6. Step 6: Final answer
    x = 269,938.80

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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.