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Finding the Fourth Proportional to 226,906.76, 339,841.74 and 108,661.16

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Solution

The fourth proportional to 226,906.76, 339,841.74 and 108,661.16 is: 162,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,906.76 : 339,841.74 = 108,661.16 : x
  2. Step 2: Convert to fraction form
    226,906.76/339,841.74 = 108,661.16/x
  3. Step 3: Cross multiply
    226,906.76x = 339,841.74 × 108,661.16
  4. Step 4: Simplify right side
    226,906.76x = 36,927,597,684.82
  5. Step 5: Solve for x
    x = 36,927,597,684.82/226,906.76
  6. Step 6: Final answer
    x = 162,743.49

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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.