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Finding the Fourth Proportional to 222,261.37, 306,718.32 and 120,284.60

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Solution

The fourth proportional to 222,261.37, 306,718.32 and 120,284.60 is: 165,991.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,261.37 : 306,718.32 = 120,284.60 : x
  2. Step 2: Convert to fraction form
    222,261.37/306,718.32 = 120,284.60/x
  3. Step 3: Cross multiply
    222,261.37x = 306,718.32 × 120,284.60
  4. Step 4: Simplify right side
    222,261.37x = 36,893,490,433.87
  5. Step 5: Solve for x
    x = 36,893,490,433.87/222,261.37
  6. Step 6: Final answer
    x = 165,991.47

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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.