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Finding the Fourth Proportional to 269,204.80, 403,807.20 and 82,216.30

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Solution

The fourth proportional to 269,204.80, 403,807.20 and 82,216.30 is: 123,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,204.80 : 403,807.20 = 82,216.30 : x
  2. Step 2: Convert to fraction form
    269,204.80/403,807.20 = 82,216.30/x
  3. Step 3: Cross multiply
    269,204.80x = 403,807.20 × 82,216.30
  4. Step 4: Simplify right side
    269,204.80x = 33,199,533,897.36
  5. Step 5: Solve for x
    x = 33,199,533,897.36/269,204.80
  6. Step 6: Final answer
    x = 123,324.45

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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.