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Finding the Fourth Proportional to 120,229.44, 165,913.02 and 66,511.32

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Solution

The fourth proportional to 120,229.44, 165,913.02 and 66,511.32 is: 91,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,229.44 : 165,913.02 = 66,511.32 : x
  2. Step 2: Convert to fraction form
    120,229.44/165,913.02 = 66,511.32/x
  3. Step 3: Cross multiply
    120,229.44x = 165,913.02 × 66,511.32
  4. Step 4: Simplify right side
    120,229.44x = 11,035,093,965.39
  5. Step 5: Solve for x
    x = 11,035,093,965.39/120,229.44
  6. Step 6: Final answer
    x = 91,783.63

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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.