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Finding the Fourth Proportional to 226,187.74, 338,764.71 and 107,942.12

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Solution

The fourth proportional to 226,187.74, 338,764.71 and 107,942.12 is: 161,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,187.74 : 338,764.71 = 107,942.12 : x
  2. Step 2: Convert to fraction form
    226,187.74/338,764.71 = 107,942.12/x
  3. Step 3: Cross multiply
    226,187.74x = 338,764.71 × 107,942.12
  4. Step 4: Simplify right side
    226,187.74x = 36,566,979,591.96
  5. Step 5: Solve for x
    x = 36,566,979,591.96/226,187.74
  6. Step 6: Final answer
    x = 161,666.50

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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.