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Finding the Fourth Proportional to 270,198.82, 405,236.60 and 101,736.91

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Solution

The fourth proportional to 270,198.82, 405,236.60 and 101,736.91 is: 152,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198.82 : 405,236.60 = 101,736.91 : x
  2. Step 2: Convert to fraction form
    270,198.82/405,236.60 = 101,736.91/x
  3. Step 3: Cross multiply
    270,198.82x = 405,236.60 × 101,736.91
  4. Step 4: Simplify right side
    270,198.82x = 41,227,516,968.04
  5. Step 5: Solve for x
    x = 41,227,516,968.04/270,198.82
  6. Step 6: Final answer
    x = 152,582.15

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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.