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Finding the Fourth Proportional to 150,923.68, 208,264.61 and 82,939.19

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Solution

The fourth proportional to 150,923.68, 208,264.61 and 82,939.19 is: 114,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,923.68 : 208,264.61 = 82,939.19 : x
  2. Step 2: Convert to fraction form
    150,923.68/208,264.61 = 82,939.19/x
  3. Step 3: Cross multiply
    150,923.68x = 208,264.61 × 82,939.19
  4. Step 4: Simplify right side
    150,923.68x = 17,273,297,930.05
  5. Step 5: Solve for x
    x = 17,273,297,930.05/150,923.68
  6. Step 6: Final answer
    x = 114,450.55

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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.