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Finding the Fourth Proportional to 204,263.97, 306,395.99 and 54,504.82

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Solution

The fourth proportional to 204,263.97, 306,395.99 and 54,504.82 is: 81,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,263.97 : 306,395.99 = 54,504.82 : x
  2. Step 2: Convert to fraction form
    204,263.97/306,395.99 = 54,504.82/x
  3. Step 3: Cross multiply
    204,263.97x = 306,395.99 × 54,504.82
  4. Step 4: Simplify right side
    204,263.97x = 16,700,058,283.67
  5. Step 5: Solve for x
    x = 16,700,058,283.67/204,263.97
  6. Step 6: Final answer
    x = 81,757.24

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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.