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Finding the Fourth Proportional to 150,431.99, 207,597.77 and 82,447.50

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Solution

The fourth proportional to 150,431.99, 207,597.77 and 82,447.50 is: 113,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,431.99 : 207,597.77 = 82,447.50 : x
  2. Step 2: Convert to fraction form
    150,431.99/207,597.77 = 82,447.50/x
  3. Step 3: Cross multiply
    150,431.99x = 207,597.77 × 82,447.50
  4. Step 4: Simplify right side
    150,431.99x = 17,115,915,691.85
  5. Step 5: Solve for x
    x = 17,115,915,691.85/150,431.99
  6. Step 6: Final answer
    x = 113,778.43

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1.5x scale

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.