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Finding the Fourth Proportional to 150,536.98, 225,819.60 and 54,498.22

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Solution

The fourth proportional to 150,536.98, 225,819.60 and 54,498.22 is: 81,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,536.98 : 225,819.60 = 54,498.22 : x
  2. Step 2: Convert to fraction form
    150,536.98/225,819.60 = 54,498.22/x
  3. Step 3: Cross multiply
    150,536.98x = 225,819.60 × 54,498.22
  4. Step 4: Simplify right side
    150,536.98x = 12,306,765,472.19
  5. Step 5: Solve for x
    x = 12,306,765,472.19/150,536.98
  6. Step 6: Final answer
    x = 81,752.44

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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.