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Finding the Fourth Proportional to 200,718.37, 300,815.11 and 82,251.01

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Solution

The fourth proportional to 200,718.37, 300,815.11 and 82,251.01 is: 123,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718.37 : 300,815.11 = 82,251.01 : x
  2. Step 2: Convert to fraction form
    200,718.37/300,815.11 = 82,251.01/x
  3. Step 3: Cross multiply
    200,718.37x = 300,815.11 × 82,251.01
  4. Step 4: Simplify right side
    200,718.37x = 24,742,344,705.43
  5. Step 5: Solve for x
    x = 24,742,344,705.43/200,718.37
  6. Step 6: Final answer
    x = 123,268.96

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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.