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Finding the Fourth Proportional to 181,203.30, 270,930.15 and 133,964.10

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Solution

The fourth proportional to 181,203.30, 270,930.15 and 133,964.10 is: 200,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,203.30 : 270,930.15 = 133,964.10 : x
  2. Step 2: Convert to fraction form
    181,203.30/270,930.15 = 133,964.10/x
  3. Step 3: Cross multiply
    181,203.30x = 270,930.15 × 133,964.10
  4. Step 4: Simplify right side
    181,203.30x = 36,294,913,707.62
  5. Step 5: Solve for x
    x = 36,294,913,707.62/181,203.30
  6. Step 6: Final answer
    x = 200,299.41

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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.