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Finding the Fourth Proportional to 169,770.20, 254,469.30 and 85,395.80

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Solution

The fourth proportional to 169,770.20, 254,469.30 and 85,395.80 is: 128,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,770.20 : 254,469.30 = 85,395.80 : x
  2. Step 2: Convert to fraction form
    169,770.20/254,469.30 = 85,395.80/x
  3. Step 3: Cross multiply
    169,770.20x = 254,469.30 × 85,395.80
  4. Step 4: Simplify right side
    169,770.20x = 21,730,609,448.94
  5. Step 5: Solve for x
    x = 21,730,609,448.94/169,770.20
  6. Step 6: Final answer
    x = 128,000.14

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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.