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Finding the Fourth Proportional to 199,058, 274,695.94 and 108,415.56

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Solution

The fourth proportional to 199,058, 274,695.94 and 108,415.56 is: 149,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,058 : 274,695.94 = 108,415.56 : x
  2. Step 2: Convert to fraction form
    199,058/274,695.94 = 108,415.56/x
  3. Step 3: Cross multiply
    199,058x = 274,695.94 × 108,415.56
  4. Step 4: Simplify right side
    199,058x = 29,781,314,164.83
  5. Step 5: Solve for x
    x = 29,781,314,164.83/199,058
  6. Step 6: Final answer
    x = 149,611.24

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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.