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Finding the Fourth Proportional to 200,544.71, 300,826.31 and 82,133.06

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Solution

The fourth proportional to 200,544.71, 300,826.31 and 82,133.06 is: 123,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,544.71 : 300,826.31 = 82,133.06 : x
  2. Step 2: Convert to fraction form
    200,544.71/300,826.31 = 82,133.06/x
  3. Step 3: Cross multiply
    200,544.71x = 300,826.31 × 82,133.06
  4. Step 4: Simplify right side
    200,544.71x = 24,707,783,454.01
  5. Step 5: Solve for x
    x = 24,707,783,454.01/200,544.71
  6. Step 6: Final answer
    x = 123,203.37

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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.