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Finding the Fourth Proportional to 222,233.22, 306,679.50 and 120,256.38

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Solution

The fourth proportional to 222,233.22, 306,679.50 and 120,256.38 is: 165,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,233.22 : 306,679.50 = 120,256.38 : x
  2. Step 2: Convert to fraction form
    222,233.22/306,679.50 = 120,256.38/x
  3. Step 3: Cross multiply
    222,233.22x = 306,679.50 × 120,256.38
  4. Step 4: Simplify right side
    222,233.22x = 36,880,166,490.21
  5. Step 5: Solve for x
    x = 36,880,166,490.21/222,233.22
  6. Step 6: Final answer
    x = 165,952.54

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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.