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Finding the Fourth Proportional to 181,203.80, 270,930.90 and 133,964.60

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Solution

The fourth proportional to 181,203.80, 270,930.90 and 133,964.60 is: 200,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,203.80 : 270,930.90 = 133,964.60 : x
  2. Step 2: Convert to fraction form
    181,203.80/270,930.90 = 133,964.60/x
  3. Step 3: Cross multiply
    181,203.80x = 270,930.90 × 133,964.60
  4. Step 4: Simplify right side
    181,203.80x = 36,295,149,646.14
  5. Step 5: Solve for x
    x = 36,295,149,646.14/181,203.80
  6. Step 6: Final answer
    x = 200,300.16

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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.