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Finding the Fourth Proportional to 150,218.57, 225,321.97 and 37,897.39

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Solution

The fourth proportional to 150,218.57, 225,321.97 and 37,897.39 is: 56,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,218.57 : 225,321.97 = 37,897.39 : x
  2. Step 2: Convert to fraction form
    150,218.57/225,321.97 = 37,897.39/x
  3. Step 3: Cross multiply
    150,218.57x = 225,321.97 × 37,897.39
  4. Step 4: Simplify right side
    150,218.57x = 8,539,113,563.19
  5. Step 5: Solve for x
    x = 8,539,113,563.19/150,218.57
  6. Step 6: Final answer
    x = 56,844.59

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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.