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Finding the Fourth Proportional to 264,196.50, 396,211.56 and 86,662.26

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Solution

The fourth proportional to 264,196.50, 396,211.56 and 86,662.26 is: 129,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,196.50 : 396,211.56 = 86,662.26 : x
  2. Step 2: Convert to fraction form
    264,196.50/396,211.56 = 86,662.26/x
  3. Step 3: Cross multiply
    264,196.50x = 396,211.56 × 86,662.26
  4. Step 4: Simplify right side
    264,196.50x = 34,336,589,227.73
  5. Step 5: Solve for x
    x = 34,336,589,227.73/264,196.50
  6. Step 6: Final answer
    x = 129,966.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.