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Finding the Fourth Proportional to 301,989.75, 416,735.24 and 166,022.70

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Solution

The fourth proportional to 301,989.75, 416,735.24 and 166,022.70 is: 229,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,989.75 : 416,735.24 = 166,022.70 : x
  2. Step 2: Convert to fraction form
    301,989.75/416,735.24 = 166,022.70/x
  3. Step 3: Cross multiply
    301,989.75x = 416,735.24 × 166,022.70
  4. Step 4: Simplify right side
    301,989.75x = 69,187,508,899.83
  5. Step 5: Solve for x
    x = 69,187,508,899.83/301,989.75
  6. Step 6: Final answer
    x = 229,105.49

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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.