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Finding the Fourth Proportional to 204,297.84, 306,446.76 and 64,067.40

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Solution

The fourth proportional to 204,297.84, 306,446.76 and 64,067.40 is: 96,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,297.84 : 306,446.76 = 64,067.40 : x
  2. Step 2: Convert to fraction form
    204,297.84/306,446.76 = 64,067.40/x
  3. Step 3: Cross multiply
    204,297.84x = 306,446.76 × 64,067.40
  4. Step 4: Simplify right side
    204,297.84x = 19,633,247,151.62
  5. Step 5: Solve for x
    x = 19,633,247,151.62/204,297.84
  6. Step 6: Final answer
    x = 96,101.10

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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.