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Finding the Fourth Proportional to 204,103.99, 306,295.31 and 70,982.92

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Solution

The fourth proportional to 204,103.99, 306,295.31 and 70,982.92 is: 106,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,103.99 : 306,295.31 = 70,982.92 : x
  2. Step 2: Convert to fraction form
    204,103.99/306,295.31 = 70,982.92/x
  3. Step 3: Cross multiply
    204,103.99x = 306,295.31 × 70,982.92
  4. Step 4: Simplify right side
    204,103.99x = 21,741,735,486.11
  5. Step 5: Solve for x
    x = 21,741,735,486.11/204,103.99
  6. Step 6: Final answer
    x = 106,522.83

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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.