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Finding the Fourth Proportional to 150,460.78, 207,634.44 and 82,481.50

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Solution

The fourth proportional to 150,460.78, 207,634.44 and 82,481.50 is: 113,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,460.78 : 207,634.44 = 82,481.50 : x
  2. Step 2: Convert to fraction form
    150,460.78/207,634.44 = 82,481.50/x
  3. Step 3: Cross multiply
    150,460.78x = 207,634.44 × 82,481.50
  4. Step 4: Simplify right side
    150,460.78x = 17,126,000,062.86
  5. Step 5: Solve for x
    x = 17,126,000,062.86/150,460.78
  6. Step 6: Final answer
    x = 113,823.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.