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Finding the Fourth Proportional to 301,997.94, 416,759.96 and 166,032.84

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Solution

The fourth proportional to 301,997.94, 416,759.96 and 166,032.84 is: 229,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,997.94 : 416,759.96 = 166,032.84 : x
  2. Step 2: Convert to fraction form
    301,997.94/416,759.96 = 166,032.84/x
  3. Step 3: Cross multiply
    301,997.94x = 416,759.96 × 166,032.84
  4. Step 4: Simplify right side
    301,997.94x = 69,195,839,757.09
  5. Step 5: Solve for x
    x = 69,195,839,757.09/301,997.94
  6. Step 6: Final answer
    x = 229,126.86

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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.