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Finding the Fourth Proportional to 120,428.37, 180,651.96 and 36,181.98

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Solution

The fourth proportional to 120,428.37, 180,651.96 and 36,181.98 is: 54,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.37 : 180,651.96 = 36,181.98 : x
  2. Step 2: Convert to fraction form
    120,428.37/180,651.96 = 36,181.98/x
  3. Step 3: Cross multiply
    120,428.37x = 180,651.96 × 36,181.98
  4. Step 4: Simplify right side
    120,428.37x = 6,536,345,603.68
  5. Step 5: Solve for x
    x = 6,536,345,603.68/120,428.37
  6. Step 6: Final answer
    x = 54,275.80

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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.