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Finding the Fourth Proportional to 204,806.94, 282,687.03 and 133,382.94

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Solution

The fourth proportional to 204,806.94, 282,687.03 and 133,382.94 is: 184,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,806.94 : 282,687.03 = 133,382.94 : x
  2. Step 2: Convert to fraction form
    204,806.94/282,687.03 = 133,382.94/x
  3. Step 3: Cross multiply
    204,806.94x = 282,687.03 × 133,382.94
  4. Step 4: Simplify right side
    204,806.94x = 37,705,627,161.27
  5. Step 5: Solve for x
    x = 37,705,627,161.27/204,806.94
  6. Step 6: Final answer
    x = 184,103.27

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1.5x scale

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.