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Finding the Fourth Proportional to 150,410.70, 207,568.20 and 82,433.95

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Solution

The fourth proportional to 150,410.70, 207,568.20 and 82,433.95 is: 113,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,410.70 : 207,568.20 = 82,433.95 : x
  2. Step 2: Convert to fraction form
    150,410.70/207,568.20 = 82,433.95/x
  3. Step 3: Cross multiply
    150,410.70x = 207,568.20 × 82,433.95
  4. Step 4: Simplify right side
    150,410.70x = 17,110,666,620.39
  5. Step 5: Solve for x
    x = 17,110,666,620.39/150,410.70
  6. Step 6: Final answer
    x = 113,759.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.