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Finding the Fourth Proportional to 270,634.91, 406,149.26 and 121,044.11

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Solution

The fourth proportional to 270,634.91, 406,149.26 and 121,044.11 is: 181,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,634.91 : 406,149.26 = 121,044.11 : x
  2. Step 2: Convert to fraction form
    270,634.91/406,149.26 = 121,044.11/x
  3. Step 3: Cross multiply
    270,634.91x = 406,149.26 × 121,044.11
  4. Step 4: Simplify right side
    270,634.91x = 49,161,973,067.89
  5. Step 5: Solve for x
    x = 49,161,973,067.89/270,634.91
  6. Step 6: Final answer
    x = 181,654.22

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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.