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Finding the Fourth Proportional to 150,629.82, 207,871.26 and 82,645.54

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Solution

The fourth proportional to 150,629.82, 207,871.26 and 82,645.54 is: 114,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,629.82 : 207,871.26 = 82,645.54 : x
  2. Step 2: Convert to fraction form
    150,629.82/207,871.26 = 82,645.54/x
  3. Step 3: Cross multiply
    150,629.82x = 207,871.26 × 82,645.54
  4. Step 4: Simplify right side
    150,629.82x = 17,179,632,533.18
  5. Step 5: Solve for x
    x = 17,179,632,533.18/150,629.82
  6. Step 6: Final answer
    x = 114,052.00

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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.