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Finding the Fourth Proportional to 150,217.50, 207,298.44 and 82,233.66

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Solution

The fourth proportional to 150,217.50, 207,298.44 and 82,233.66 is: 113,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,217.50 : 207,298.44 = 82,233.66 : x
  2. Step 2: Convert to fraction form
    150,217.50/207,298.44 = 82,233.66/x
  3. Step 3: Cross multiply
    150,217.50x = 207,298.44 × 82,233.66
  4. Step 4: Simplify right side
    150,217.50x = 17,046,909,433.49
  5. Step 5: Solve for x
    x = 17,046,909,433.49/150,217.50
  6. Step 6: Final answer
    x = 113,481.51

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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.