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Finding the Fourth Proportional to 120,349.68, 180,517.23 and 31,601.22

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Solution

The fourth proportional to 120,349.68, 180,517.23 and 31,601.22 is: 47,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,349.68 : 180,517.23 = 31,601.22 : x
  2. Step 2: Convert to fraction form
    120,349.68/180,517.23 = 31,601.22/x
  3. Step 3: Cross multiply
    120,349.68x = 180,517.23 × 31,601.22
  4. Step 4: Simplify right side
    120,349.68x = 5,704,564,699.02
  5. Step 5: Solve for x
    x = 5,704,564,699.02/120,349.68
  6. Step 6: Final answer
    x = 47,399.92

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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.