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Finding the Fourth Proportional to 200,553.12, 300,827.52 and 82,198.08

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Solution

The fourth proportional to 200,553.12, 300,827.52 and 82,198.08 is: 123,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,553.12 : 300,827.52 = 82,198.08 : x
  2. Step 2: Convert to fraction form
    200,553.12/300,827.52 = 82,198.08/x
  3. Step 3: Cross multiply
    200,553.12x = 300,827.52 × 82,198.08
  4. Step 4: Simplify right side
    200,553.12x = 24,727,444,555.16
  5. Step 5: Solve for x
    x = 24,727,444,555.16/200,553.12
  6. Step 6: Final answer
    x = 123,296.23

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1.5x scale

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.