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Finding the Fourth Proportional to 204,706.99, 307,018.12 and 54,911.66

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Solution

The fourth proportional to 204,706.99, 307,018.12 and 54,911.66 is: 82,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,706.99 : 307,018.12 = 54,911.66 : x
  2. Step 2: Convert to fraction form
    204,706.99/307,018.12 = 54,911.66/x
  3. Step 3: Cross multiply
    204,706.99x = 307,018.12 × 54,911.66
  4. Step 4: Simplify right side
    204,706.99x = 16,858,874,619.28
  5. Step 5: Solve for x
    x = 16,858,874,619.28/204,706.99
  6. Step 6: Final answer
    x = 82,356.13

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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.