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Finding the Fourth Proportional to 150,160.45, 207,212.49 and 82,163.86

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Solution

The fourth proportional to 150,160.45, 207,212.49 and 82,163.86 is: 113,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,160.45 : 207,212.49 = 82,163.86 : x
  2. Step 2: Convert to fraction form
    150,160.45/207,212.49 = 82,163.86/x
  3. Step 3: Cross multiply
    150,160.45x = 207,212.49 × 82,163.86
  4. Step 4: Simplify right side
    150,160.45x = 17,025,378,018.61
  5. Step 5: Solve for x
    x = 17,025,378,018.61/150,160.45
  6. Step 6: Final answer
    x = 113,381.24

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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.