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Finding the Fourth Proportional to 270,953.80, 406,661.10 and 121,424.20

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Solution

The fourth proportional to 270,953.80, 406,661.10 and 121,424.20 is: 182,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,953.80 : 406,661.10 = 121,424.20 : x
  2. Step 2: Convert to fraction form
    270,953.80/406,661.10 = 121,424.20/x
  3. Step 3: Cross multiply
    270,953.80x = 406,661.10 × 121,424.20
  4. Step 4: Simplify right side
    270,953.80x = 49,378,498,738.62
  5. Step 5: Solve for x
    x = 49,378,498,738.62/270,953.80
  6. Step 6: Final answer
    x = 182,239.55

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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.