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Finding the Fourth Proportional to 241,221.76, 361,542 and 89,297.44

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Solution

The fourth proportional to 241,221.76, 361,542 and 89,297.44 is: 133,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,221.76 : 361,542 = 89,297.44 : x
  2. Step 2: Convert to fraction form
    241,221.76/361,542 = 89,297.44/x
  3. Step 3: Cross multiply
    241,221.76x = 361,542 × 89,297.44
  4. Step 4: Simplify right side
    241,221.76x = 32,284,775,052.48
  5. Step 5: Solve for x
    x = 32,284,775,052.48/241,221.76
  6. Step 6: Final answer
    x = 133,838.57

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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.