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Finding the Fourth Proportional to 204,894.97, 282,758.55 and 113,024.80

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Solution

The fourth proportional to 204,894.97, 282,758.55 and 113,024.80 is: 155,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894.97 : 282,758.55 = 113,024.80 : x
  2. Step 2: Convert to fraction form
    204,894.97/282,758.55 = 113,024.80/x
  3. Step 3: Cross multiply
    204,894.97x = 282,758.55 × 113,024.80
  4. Step 4: Simplify right side
    204,894.97x = 31,958,727,996.92
  5. Step 5: Solve for x
    x = 31,958,727,996.92/204,894.97
  6. Step 6: Final answer
    x = 155,976.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.