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Finding the Fourth Proportional to 204,706.53, 307,017.44 and 54,911.21

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Solution

The fourth proportional to 204,706.53, 307,017.44 and 54,911.21 is: 82,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,706.53 : 307,017.44 = 54,911.21 : x
  2. Step 2: Convert to fraction form
    204,706.53/307,017.44 = 54,911.21/x
  3. Step 3: Cross multiply
    204,706.53x = 307,017.44 × 54,911.21
  4. Step 4: Simplify right side
    204,706.53x = 16,858,697,311.86
  5. Step 5: Solve for x
    x = 16,858,697,311.86/204,706.53
  6. Step 6: Final answer
    x = 82,355.44

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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.