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Finding the Fourth Proportional to 181,145.30, 270,843.15 and 133,906.10

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Solution

The fourth proportional to 181,145.30, 270,843.15 and 133,906.10 is: 200,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,145.30 : 270,843.15 = 133,906.10 : x
  2. Step 2: Convert to fraction form
    181,145.30/270,843.15 = 133,906.10/x
  3. Step 3: Cross multiply
    181,145.30x = 270,843.15 × 133,906.10
  4. Step 4: Simplify right side
    181,145.30x = 36,267,549,928.22
  5. Step 5: Solve for x
    x = 36,267,549,928.22/181,145.30
  6. Step 6: Final answer
    x = 200,212.48

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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.