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Finding the Fourth Proportional to 200,755.09, 301,206.44 and 82,394.65

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Solution

The fourth proportional to 200,755.09, 301,206.44 and 82,394.65 is: 123,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.09 : 301,206.44 = 82,394.65 : x
  2. Step 2: Convert to fraction form
    200,755.09/301,206.44 = 82,394.65/x
  3. Step 3: Cross multiply
    200,755.09x = 301,206.44 × 82,394.65
  4. Step 4: Simplify right side
    200,755.09x = 24,817,798,789.57
  5. Step 5: Solve for x
    x = 24,817,798,789.57/200,755.09
  6. Step 6: Final answer
    x = 123,622.26

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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.