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Finding the Fourth Proportional to 264,163.26, 396,161.72 and 86,629

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Solution

The fourth proportional to 264,163.26, 396,161.72 and 86,629 is: 129,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,163.26 : 396,161.72 = 86,629 : x
  2. Step 2: Convert to fraction form
    264,163.26/396,161.72 = 86,629/x
  3. Step 3: Cross multiply
    264,163.26x = 396,161.72 × 86,629
  4. Step 4: Simplify right side
    264,163.26x = 34,319,093,641.88
  5. Step 5: Solve for x
    x = 34,319,093,641.88/264,163.26
  6. Step 6: Final answer
    x = 129,916.23

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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.