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Finding the Fourth Proportional to 150,496.92, 225,743.09 and 36,645.80

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Solution

The fourth proportional to 150,496.92, 225,743.09 and 36,645.80 is: 54,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,496.92 : 225,743.09 = 36,645.80 : x
  2. Step 2: Convert to fraction form
    150,496.92/225,743.09 = 36,645.80/x
  3. Step 3: Cross multiply
    150,496.92x = 225,743.09 × 36,645.80
  4. Step 4: Simplify right side
    150,496.92x = 8,272,534,815.58
  5. Step 5: Solve for x
    x = 8,272,534,815.58/150,496.92
  6. Step 6: Final answer
    x = 54,968.13

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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.