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Finding the Fourth Proportional to 171,306, 257,060.25 and 95,467.86

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Solution

The fourth proportional to 171,306, 257,060.25 and 95,467.86 is: 143,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,306 : 257,060.25 = 95,467.86 : x
  2. Step 2: Convert to fraction form
    171,306/257,060.25 = 95,467.86/x
  3. Step 3: Cross multiply
    171,306x = 257,060.25 × 95,467.86
  4. Step 4: Simplify right side
    171,306x = 24,540,991,958.57
  5. Step 5: Solve for x
    x = 24,540,991,958.57/171,306
  6. Step 6: Final answer
    x = 143,258.22

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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.