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Finding the Fourth Proportional to 204,297.94, 306,446.91 and 64,067.50

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Solution

The fourth proportional to 204,297.94, 306,446.91 and 64,067.50 is: 96,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,297.94 : 306,446.91 = 64,067.50 : x
  2. Step 2: Convert to fraction form
    204,297.94/306,446.91 = 64,067.50/x
  3. Step 3: Cross multiply
    204,297.94x = 306,446.91 × 64,067.50
  4. Step 4: Simplify right side
    204,297.94x = 19,633,287,406.43
  5. Step 5: Solve for x
    x = 19,633,287,406.43/204,297.94
  6. Step 6: Final answer
    x = 96,101.25

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1.5x scale

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.