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Finding the Fourth Proportional to 222,207.02, 306,643.50 and 120,230.24

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Solution

The fourth proportional to 222,207.02, 306,643.50 and 120,230.24 is: 165,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,207.02 : 306,643.50 = 120,230.24 : x
  2. Step 2: Convert to fraction form
    222,207.02/306,643.50 = 120,230.24/x
  3. Step 3: Cross multiply
    222,207.02x = 306,643.50 × 120,230.24
  4. Step 4: Simplify right side
    222,207.02x = 36,867,820,066.22
  5. Step 5: Solve for x
    x = 36,867,820,066.22/222,207.02
  6. Step 6: Final answer
    x = 165,916.54

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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.