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Finding the Fourth Proportional to 220,894.75, 331,342.13 and 54,682.75

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Solution

The fourth proportional to 220,894.75, 331,342.13 and 54,682.75 is: 82,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,894.75 : 331,342.13 = 54,682.75 : x
  2. Step 2: Convert to fraction form
    220,894.75/331,342.13 = 54,682.75/x
  3. Step 3: Cross multiply
    220,894.75x = 331,342.13 × 54,682.75
  4. Step 4: Simplify right side
    220,894.75x = 18,118,698,859.26
  5. Step 5: Solve for x
    x = 18,118,698,859.26/220,894.75
  6. Step 6: Final answer
    x = 82,024.13

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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.