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Finding the Fourth Proportional to 361,123.20, 541,771.20 and 150,652.80

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Solution

The fourth proportional to 361,123.20, 541,771.20 and 150,652.80 is: 226,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,123.20 : 541,771.20 = 150,652.80 : x
  2. Step 2: Convert to fraction form
    361,123.20/541,771.20 = 150,652.80/x
  3. Step 3: Cross multiply
    361,123.20x = 541,771.20 × 150,652.80
  4. Step 4: Simplify right side
    361,123.20x = 81,619,348,239.36
  5. Step 5: Solve for x
    x = 81,619,348,239.36/361,123.20
  6. Step 6: Final answer
    x = 226,015.24

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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.