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Finding the Fourth Proportional to 222,338.58, 306,826.86 and 120,363.54

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Solution

The fourth proportional to 222,338.58, 306,826.86 and 120,363.54 is: 166,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,338.58 : 306,826.86 = 120,363.54 : x
  2. Step 2: Convert to fraction form
    222,338.58/306,826.86 = 120,363.54/x
  3. Step 3: Cross multiply
    222,338.58x = 306,826.86 × 120,363.54
  4. Step 4: Simplify right side
    222,338.58x = 36,930,767,036.68
  5. Step 5: Solve for x
    x = 36,930,767,036.68/222,338.58
  6. Step 6: Final answer
    x = 166,101.48

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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.