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Finding the Fourth Proportional to 268,982.80, 403,531.80 and 82,013.20

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Solution

The fourth proportional to 268,982.80, 403,531.80 and 82,013.20 is: 123,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,982.80 : 403,531.80 = 82,013.20 : x
  2. Step 2: Convert to fraction form
    268,982.80/403,531.80 = 82,013.20/x
  3. Step 3: Cross multiply
    268,982.80x = 403,531.80 × 82,013.20
  4. Step 4: Simplify right side
    268,982.80x = 33,094,934,219.76
  5. Step 5: Solve for x
    x = 33,094,934,219.76/268,982.80
  6. Step 6: Final answer
    x = 123,037.36

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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.