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Finding the Fourth Proportional to 268,977.80, 403,524.30 and 82,008.20

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Solution

The fourth proportional to 268,977.80, 403,524.30 and 82,008.20 is: 123,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,977.80 : 403,524.30 = 82,008.20 : x
  2. Step 2: Convert to fraction form
    268,977.80/403,524.30 = 82,008.20/x
  3. Step 3: Cross multiply
    268,977.80x = 403,524.30 × 82,008.20
  4. Step 4: Simplify right side
    268,977.80x = 33,092,301,499.26
  5. Step 5: Solve for x
    x = 33,092,301,499.26/268,977.80
  6. Step 6: Final answer
    x = 123,029.86

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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.