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Finding the Fourth Proportional to 301,990.75, 416,736.61 and 166,023.70

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Solution

The fourth proportional to 301,990.75, 416,736.61 and 166,023.70 is: 229,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,990.75 : 416,736.61 = 166,023.70 : x
  2. Step 2: Convert to fraction form
    301,990.75/416,736.61 = 166,023.70/x
  3. Step 3: Cross multiply
    301,990.75x = 416,736.61 × 166,023.70
  4. Step 4: Simplify right side
    301,990.75x = 69,188,153,917.66
  5. Step 5: Solve for x
    x = 69,188,153,917.66/301,990.75
  6. Step 6: Final answer
    x = 229,106.86

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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.