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Finding the Fourth Proportional to 150,342.40, 207,472.59 and 82,361.83

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Solution

The fourth proportional to 150,342.40, 207,472.59 and 82,361.83 is: 113,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,342.40 : 207,472.59 = 82,361.83 : x
  2. Step 2: Convert to fraction form
    150,342.40/207,472.59 = 82,361.83/x
  3. Step 3: Cross multiply
    150,342.40x = 207,472.59 × 82,361.83
  4. Step 4: Simplify right side
    150,342.40x = 17,087,822,057.57
  5. Step 5: Solve for x
    x = 17,087,822,057.57/150,342.40
  6. Step 6: Final answer
    x = 113,659.37

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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.