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Finding the Fourth Proportional to 241,701.27, 362,424.32 and 81,722.22

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Solution

The fourth proportional to 241,701.27, 362,424.32 and 81,722.22 is: 122,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,701.27 : 362,424.32 = 81,722.22 : x
  2. Step 2: Convert to fraction form
    241,701.27/362,424.32 = 81,722.22/x
  3. Step 3: Cross multiply
    241,701.27x = 362,424.32 × 81,722.22
  4. Step 4: Simplify right side
    241,701.27x = 29,618,120,012.39
  5. Step 5: Solve for x
    x = 29,618,120,012.39/241,701.27
  6. Step 6: Final answer
    x = 122,540.19

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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.