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Finding the Fourth Proportional to 171,200.76, 256,874.66 and 66,093.54

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Solution

The fourth proportional to 171,200.76, 256,874.66 and 66,093.54 is: 99,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,200.76 : 256,874.66 = 66,093.54 : x
  2. Step 2: Convert to fraction form
    171,200.76/256,874.66 = 66,093.54/x
  3. Step 3: Cross multiply
    171,200.76x = 256,874.66 × 66,093.54
  4. Step 4: Simplify right side
    171,200.76x = 16,977,755,615.70
  5. Step 5: Solve for x
    x = 16,977,755,615.70/171,200.76
  6. Step 6: Final answer
    x = 99,168.69

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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.