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Finding the Fourth Proportional to 222,076.80, 332,726.40 and 182,419.20

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Solution

The fourth proportional to 222,076.80, 332,726.40 and 182,419.20 is: 273,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,076.80 : 332,726.40 = 182,419.20 : x
  2. Step 2: Convert to fraction form
    222,076.80/332,726.40 = 182,419.20/x
  3. Step 3: Cross multiply
    222,076.80x = 332,726.40 × 182,419.20
  4. Step 4: Simplify right side
    222,076.80x = 60,695,683,706.88
  5. Step 5: Solve for x
    x = 60,695,683,706.88/222,076.80
  6. Step 6: Final answer
    x = 273,309.43

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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.