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Finding the Fourth Proportional to 222,352.53, 306,844.29 and 120,375.30

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Solution

The fourth proportional to 222,352.53, 306,844.29 and 120,375.30 is: 166,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,352.53 : 306,844.29 = 120,375.30 : x
  2. Step 2: Convert to fraction form
    222,352.53/306,844.29 = 120,375.30/x
  3. Step 3: Cross multiply
    222,352.53x = 306,844.29 × 120,375.30
  4. Step 4: Simplify right side
    222,352.53x = 36,936,473,462.04
  5. Step 5: Solve for x
    x = 36,936,473,462.04/222,352.53
  6. Step 6: Final answer
    x = 166,116.72

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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.