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Finding the Fourth Proportional to 120,481.78, 180,477.24 and 57,109.82

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Solution

The fourth proportional to 120,481.78, 180,477.24 and 57,109.82 is: 85,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,481.78 : 180,477.24 = 57,109.82 : x
  2. Step 2: Convert to fraction form
    120,481.78/180,477.24 = 57,109.82/x
  3. Step 3: Cross multiply
    120,481.78x = 180,477.24 × 57,109.82
  4. Step 4: Simplify right side
    120,481.78x = 10,307,022,690.50
  5. Step 5: Solve for x
    x = 10,307,022,690.50/120,481.78
  6. Step 6: Final answer
    x = 85,548.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.