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Finding the Fourth Proportional to 270,996.37, 406,420.03 and 113,198.65

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Solution

The fourth proportional to 270,996.37, 406,420.03 and 113,198.65 is: 169,766.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,996.37 : 406,420.03 = 113,198.65 : x
  2. Step 2: Convert to fraction form
    270,996.37/406,420.03 = 113,198.65/x
  3. Step 3: Cross multiply
    270,996.37x = 406,420.03 × 113,198.65
  4. Step 4: Simplify right side
    270,996.37x = 46,006,198,728.96
  5. Step 5: Solve for x
    x = 46,006,198,728.96/270,996.37
  6. Step 6: Final answer
    x = 169,766.84

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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.