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Finding the Fourth Proportional to 150,453.60, 207,616.38 and 82,458.56

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Solution

The fourth proportional to 150,453.60, 207,616.38 and 82,458.56 is: 113,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,453.60 : 207,616.38 = 82,458.56 : x
  2. Step 2: Convert to fraction form
    150,453.60/207,616.38 = 82,458.56/x
  3. Step 3: Cross multiply
    150,453.60x = 207,616.38 × 82,458.56
  4. Step 4: Simplify right side
    150,453.60x = 17,119,747,727.21
  5. Step 5: Solve for x
    x = 17,119,747,727.21/150,453.60
  6. Step 6: Final answer
    x = 113,787.56

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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.