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Finding the Fourth Proportional to 99,996.80, 149,822.40 and 82,371.20

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Solution

The fourth proportional to 99,996.80, 149,822.40 and 82,371.20 is: 123,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,996.80 : 149,822.40 = 82,371.20 : x
  2. Step 2: Convert to fraction form
    99,996.80/149,822.40 = 82,371.20/x
  3. Step 3: Cross multiply
    99,996.80x = 149,822.40 × 82,371.20
  4. Step 4: Simplify right side
    99,996.80x = 12,341,050,874.88
  5. Step 5: Solve for x
    x = 12,341,050,874.88/99,996.80
  6. Step 6: Final answer
    x = 123,414.46

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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.