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Finding the Fourth Proportional to 200,093.27, 300,064.57 and 81,701.24

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Solution

The fourth proportional to 200,093.27, 300,064.57 and 81,701.24 is: 122,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,093.27 : 300,064.57 = 81,701.24 : x
  2. Step 2: Convert to fraction form
    200,093.27/300,064.57 = 81,701.24/x
  3. Step 3: Cross multiply
    200,093.27x = 300,064.57 × 81,701.24
  4. Step 4: Simplify right side
    200,093.27x = 24,515,647,449.07
  5. Step 5: Solve for x
    x = 24,515,647,449.07/200,093.27
  6. Step 6: Final answer
    x = 122,521.10

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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.