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Finding the Fourth Proportional to 222,362.69, 306,860.72 and 120,388.23

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Solution

The fourth proportional to 222,362.69, 306,860.72 and 120,388.23 is: 166,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,362.69 : 306,860.72 = 120,388.23 : x
  2. Step 2: Convert to fraction form
    222,362.69/306,860.72 = 120,388.23/x
  3. Step 3: Cross multiply
    222,362.69x = 306,860.72 × 120,388.23
  4. Step 4: Simplify right side
    222,362.69x = 36,942,418,335.38
  5. Step 5: Solve for x
    x = 36,942,418,335.38/222,362.69
  6. Step 6: Final answer
    x = 166,135.87

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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.