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Finding the Fourth Proportional to 170,750.70, 256,126.05 and 81,982.80

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Solution

The fourth proportional to 170,750.70, 256,126.05 and 81,982.80 is: 122,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,750.70 : 256,126.05 = 81,982.80 : x
  2. Step 2: Convert to fraction form
    170,750.70/256,126.05 = 81,982.80/x
  3. Step 3: Cross multiply
    170,750.70x = 256,126.05 × 81,982.80
  4. Step 4: Simplify right side
    170,750.70x = 20,997,930,731.94
  5. Step 5: Solve for x
    x = 20,997,930,731.94/170,750.70
  6. Step 6: Final answer
    x = 122,974.20

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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.