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Finding the Fourth Proportional to 120,163.16, 180,229.10 and 31,423.51

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Solution

The fourth proportional to 120,163.16, 180,229.10 and 31,423.51 is: 47,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,163.16 : 180,229.10 = 31,423.51 : x
  2. Step 2: Convert to fraction form
    120,163.16/180,229.10 = 31,423.51/x
  3. Step 3: Cross multiply
    120,163.16x = 180,229.10 × 31,423.51
  4. Step 4: Simplify right side
    120,163.16x = 5,663,431,171.07
  5. Step 5: Solve for x
    x = 5,663,431,171.07/120,163.16
  6. Step 6: Final answer
    x = 47,131.18

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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.