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Finding the Fourth Proportional to 150,212.28, 207,289.74 and 82,227.48

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Solution

The fourth proportional to 150,212.28, 207,289.74 and 82,227.48 is: 113,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,212.28 : 207,289.74 = 82,227.48 : x
  2. Step 2: Convert to fraction form
    150,212.28/207,289.74 = 82,227.48/x
  3. Step 3: Cross multiply
    150,212.28x = 207,289.74 × 82,227.48
  4. Step 4: Simplify right side
    150,212.28x = 17,044,912,950.06
  5. Step 5: Solve for x
    x = 17,044,912,950.06/150,212.28
  6. Step 6: Final answer
    x = 113,472.17

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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.