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Finding the Fourth Proportional to 129,164.70, 193,401.45 and 82,163.10

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Solution

The fourth proportional to 129,164.70, 193,401.45 and 82,163.10 is: 123,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,164.70 : 193,401.45 = 82,163.10 : x
  2. Step 2: Convert to fraction form
    129,164.70/193,401.45 = 82,163.10/x
  3. Step 3: Cross multiply
    129,164.70x = 193,401.45 × 82,163.10
  4. Step 4: Simplify right side
    129,164.70x = 15,890,462,676.50
  5. Step 5: Solve for x
    x = 15,890,462,676.50/129,164.70
  6. Step 6: Final answer
    x = 123,024.81

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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.