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Finding the Fourth Proportional to 222,022.67, 306,390.62 and 120,047.40

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Solution

The fourth proportional to 222,022.67, 306,390.62 and 120,047.40 is: 165,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,022.67 : 306,390.62 = 120,047.40 : x
  2. Step 2: Convert to fraction form
    222,022.67/306,390.62 = 120,047.40/x
  3. Step 3: Cross multiply
    222,022.67x = 306,390.62 × 120,047.40
  4. Step 4: Simplify right side
    222,022.67x = 36,781,397,615.51
  5. Step 5: Solve for x
    x = 36,781,397,615.51/222,022.67
  6. Step 6: Final answer
    x = 165,665.06

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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.