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Finding the Fourth Proportional to 222,354.69, 306,847.26 and 120,377.46

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Solution

The fourth proportional to 222,354.69, 306,847.26 and 120,377.46 is: 166,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,354.69 : 306,847.26 = 120,377.46 : x
  2. Step 2: Convert to fraction form
    222,354.69/306,847.26 = 120,377.46/x
  3. Step 3: Cross multiply
    222,354.69x = 306,847.26 × 120,377.46
  4. Step 4: Simplify right side
    222,354.69x = 36,937,493,766.76
  5. Step 5: Solve for x
    x = 36,937,493,766.76/222,354.69
  6. Step 6: Final answer
    x = 166,119.70

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