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Finding the Fourth Proportional to 269,280.60, 403,940.10 and 82,291.80

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Solution

The fourth proportional to 269,280.60, 403,940.10 and 82,291.80 is: 123,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,280.60 : 403,940.10 = 82,291.80 : x
  2. Step 2: Convert to fraction form
    269,280.60/403,940.10 = 82,291.80/x
  3. Step 3: Cross multiply
    269,280.60x = 403,940.10 × 82,291.80
  4. Step 4: Simplify right side
    269,280.60x = 33,240,957,921.18
  5. Step 5: Solve for x
    x = 33,240,957,921.18/269,280.60
  6. Step 6: Final answer
    x = 123,443.57

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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.