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Finding the Fourth Proportional to 241,378.80, 362,077.92 and 114,954

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Solution

The fourth proportional to 241,378.80, 362,077.92 and 114,954 is: 172,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,378.80 : 362,077.92 = 114,954 : x
  2. Step 2: Convert to fraction form
    241,378.80/362,077.92 = 114,954/x
  3. Step 3: Cross multiply
    241,378.80x = 362,077.92 × 114,954
  4. Step 4: Simplify right side
    241,378.80x = 41,622,305,215.68
  5. Step 5: Solve for x
    x = 41,622,305,215.68/241,378.80
  6. Step 6: Final answer
    x = 172,435.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.