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Finding the Fourth Proportional to 301,179.88, 415,637.22 and 167,041

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Solution

The fourth proportional to 301,179.88, 415,637.22 and 167,041 is: 230,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,179.88 : 415,637.22 = 167,041 : x
  2. Step 2: Convert to fraction form
    301,179.88/415,637.22 = 167,041/x
  3. Step 3: Cross multiply
    301,179.88x = 415,637.22 × 167,041
  4. Step 4: Simplify right side
    301,179.88x = 69,428,456,866.02
  5. Step 5: Solve for x
    x = 69,428,456,866.02/301,179.88
  6. Step 6: Final answer
    x = 230,521.56

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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.