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Finding the Fourth Proportional to 222,077.86, 306,466.54 and 120,103.41

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Solution

The fourth proportional to 222,077.86, 306,466.54 and 120,103.41 is: 165,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,077.86 : 306,466.54 = 120,103.41 : x
  2. Step 2: Convert to fraction form
    222,077.86/306,466.54 = 120,103.41/x
  3. Step 3: Cross multiply
    222,077.86x = 306,466.54 × 120,103.41
  4. Step 4: Simplify right side
    222,077.86x = 36,807,676,504.90
  5. Step 5: Solve for x
    x = 36,807,676,504.90/222,077.86
  6. Step 6: Final answer
    x = 165,742.22

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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.