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Finding the Fourth Proportional to 222,278.46, 306,771.75 and 165,591.42

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Solution

The fourth proportional to 222,278.46, 306,771.75 and 165,591.42 is: 228,536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,278.46 : 306,771.75 = 165,591.42 : x
  2. Step 2: Convert to fraction form
    222,278.46/306,771.75 = 165,591.42/x
  3. Step 3: Cross multiply
    222,278.46x = 306,771.75 × 165,591.42
  4. Step 4: Simplify right side
    222,278.46x = 50,798,769,698.39
  5. Step 5: Solve for x
    x = 50,798,769,698.39/222,278.46
  6. Step 6: Final answer
    x = 228,536.63

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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.