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Finding the Fourth Proportional to 109,236.82, 150,666.33 and 82,380.46

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Solution

The fourth proportional to 109,236.82, 150,666.33 and 82,380.46 is: 113,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,236.82 : 150,666.33 = 82,380.46 : x
  2. Step 2: Convert to fraction form
    109,236.82/150,666.33 = 82,380.46/x
  3. Step 3: Cross multiply
    109,236.82x = 150,666.33 × 82,380.46
  4. Step 4: Simplify right side
    109,236.82x = 12,411,961,571.91
  5. Step 5: Solve for x
    x = 12,411,961,571.91/109,236.82
  6. Step 6: Final answer
    x = 113,624.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.