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Finding the Fourth Proportional to 204,067.80, 306,101.70 and 109,589.40

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Solution

The fourth proportional to 204,067.80, 306,101.70 and 109,589.40 is: 164,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,067.80 : 306,101.70 = 109,589.40 : x
  2. Step 2: Convert to fraction form
    204,067.80/306,101.70 = 109,589.40/x
  3. Step 3: Cross multiply
    204,067.80x = 306,101.70 × 109,589.40
  4. Step 4: Simplify right side
    204,067.80x = 33,545,501,641.98
  5. Step 5: Solve for x
    x = 33,545,501,641.98/204,067.80
  6. Step 6: Final answer
    x = 164,384.10

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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.