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Finding the Fourth Proportional to 201,977.91, 302,974.56 and 75,604.83

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Solution

The fourth proportional to 201,977.91, 302,974.56 and 75,604.83 is: 113,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,977.91 : 302,974.56 = 75,604.83 : x
  2. Step 2: Convert to fraction form
    201,977.91/302,974.56 = 75,604.83/x
  3. Step 3: Cross multiply
    201,977.91x = 302,974.56 × 75,604.83
  4. Step 4: Simplify right side
    201,977.91x = 22,906,340,103.12
  5. Step 5: Solve for x
    x = 22,906,340,103.12/201,977.91
  6. Step 6: Final answer
    x = 113,410.13

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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.