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Finding the Fourth Proportional to 200,644.36, 300,754.32 and 74,203.36

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Solution

The fourth proportional to 200,644.36, 300,754.32 and 74,203.36 is: 111,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,644.36 : 300,754.32 = 74,203.36 : x
  2. Step 2: Convert to fraction form
    200,644.36/300,754.32 = 74,203.36/x
  3. Step 3: Cross multiply
    200,644.36x = 300,754.32 × 74,203.36
  4. Step 4: Simplify right side
    200,644.36x = 22,316,981,078.52
  5. Step 5: Solve for x
    x = 22,316,981,078.52/200,644.36
  6. Step 6: Final answer
    x = 111,226.56

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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.