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Finding the Fourth Proportional to 220,541.82, 330,875.43 and 108,255.66

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Solution

The fourth proportional to 220,541.82, 330,875.43 and 108,255.66 is: 162,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,541.82 : 330,875.43 = 108,255.66 : x
  2. Step 2: Convert to fraction form
    220,541.82/330,875.43 = 108,255.66/x
  3. Step 3: Cross multiply
    220,541.82x = 330,875.43 × 108,255.66
  4. Step 4: Simplify right side
    220,541.82x = 35,819,138,052.43
  5. Step 5: Solve for x
    x = 35,819,138,052.43/220,541.82
  6. Step 6: Final answer
    x = 162,414.27

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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.