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Finding the Fourth Proportional to 223,137.75, 307,930.11 and 122,535.75

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Solution

The fourth proportional to 223,137.75, 307,930.11 and 122,535.75 is: 169,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,137.75 : 307,930.11 = 122,535.75 : x
  2. Step 2: Convert to fraction form
    223,137.75/307,930.11 = 122,535.75/x
  3. Step 3: Cross multiply
    223,137.75x = 307,930.11 × 122,535.75
  4. Step 4: Simplify right side
    223,137.75x = 37,732,446,976.43
  5. Step 5: Solve for x
    x = 37,732,446,976.43/223,137.75
  6. Step 6: Final answer
    x = 169,099.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.