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Finding the Fourth Proportional to 171,751.98, 257,406.20 and 76,912.86

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Solution

The fourth proportional to 171,751.98, 257,406.20 and 76,912.86 is: 115,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,751.98 : 257,406.20 = 76,912.86 : x
  2. Step 2: Convert to fraction form
    171,751.98/257,406.20 = 76,912.86/x
  3. Step 3: Cross multiply
    171,751.98x = 257,406.20 × 76,912.86
  4. Step 4: Simplify right side
    171,751.98x = 19,797,847,023.73
  5. Step 5: Solve for x
    x = 19,797,847,023.73/171,751.98
  6. Step 6: Final answer
    x = 115,269.98

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1.5x scale

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.