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Finding the Fourth Proportional to 221,181.48, 331,772.04 and 54,969.48

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Solution

The fourth proportional to 221,181.48, 331,772.04 and 54,969.48 is: 82,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,181.48 : 331,772.04 = 54,969.48 : x
  2. Step 2: Convert to fraction form
    221,181.48/331,772.04 = 54,969.48/x
  3. Step 3: Cross multiply
    221,181.48x = 331,772.04 × 54,969.48
  4. Step 4: Simplify right side
    221,181.48x = 18,237,336,517.34
  5. Step 5: Solve for x
    x = 18,237,336,517.34/221,181.48
  6. Step 6: Final answer
    x = 82,454.18

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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.