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Finding the Fourth Proportional to 200,383.31, 300,574.97 and 50,624.03

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Solution

The fourth proportional to 200,383.31, 300,574.97 and 50,624.03 is: 75,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,383.31 : 300,574.97 = 50,624.03 : x
  2. Step 2: Convert to fraction form
    200,383.31/300,574.97 = 50,624.03/x
  3. Step 3: Cross multiply
    200,383.31x = 300,574.97 × 50,624.03
  4. Step 4: Simplify right side
    200,383.31x = 15,216,314,542.53
  5. Step 5: Solve for x
    x = 15,216,314,542.53/200,383.31
  6. Step 6: Final answer
    x = 75,936.04

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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.