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Finding the Fourth Proportional to 270,995.37, 406,418.54 and 113,197.65

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Solution

The fourth proportional to 270,995.37, 406,418.54 and 113,197.65 is: 169,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,995.37 : 406,418.54 = 113,197.65 : x
  2. Step 2: Convert to fraction form
    270,995.37/406,418.54 = 113,197.65/x
  3. Step 3: Cross multiply
    270,995.37x = 406,418.54 × 113,197.65
  4. Step 4: Simplify right side
    270,995.37x = 46,005,623,078.44
  5. Step 5: Solve for x
    x = 46,005,623,078.44/270,995.37
  6. Step 6: Final answer
    x = 169,765.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.