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Finding the Fourth Proportional to 204,067.40, 306,101.10 and 147,642.80

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Solution

The fourth proportional to 204,067.40, 306,101.10 and 147,642.80 is: 221,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,067.40 : 306,101.10 = 147,642.80 : x
  2. Step 2: Convert to fraction form
    204,067.40/306,101.10 = 147,642.80/x
  3. Step 3: Cross multiply
    204,067.40x = 306,101.10 × 147,642.80
  4. Step 4: Simplify right side
    204,067.40x = 45,193,623,487.08
  5. Step 5: Solve for x
    x = 45,193,623,487.08/204,067.40
  6. Step 6: Final answer
    x = 221,464.20

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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.