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Finding the Fourth Proportional to 222,164.82, 306,586.16 and 120,190

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Solution

The fourth proportional to 222,164.82, 306,586.16 and 120,190 is: 165,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,164.82 : 306,586.16 = 120,190 : x
  2. Step 2: Convert to fraction form
    222,164.82/306,586.16 = 120,190/x
  3. Step 3: Cross multiply
    222,164.82x = 306,586.16 × 120,190
  4. Step 4: Simplify right side
    222,164.82x = 36,848,590,570.40
  5. Step 5: Solve for x
    x = 36,848,590,570.40/222,164.82
  6. Step 6: Final answer
    x = 165,861.50

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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.