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Finding the Fourth Proportional to 106,817.48, 160,139.82 and 65,250.44

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Solution

The fourth proportional to 106,817.48, 160,139.82 and 65,250.44 is: 97,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817.48 : 160,139.82 = 65,250.44 : x
  2. Step 2: Convert to fraction form
    106,817.48/160,139.82 = 65,250.44/x
  3. Step 3: Cross multiply
    106,817.48x = 160,139.82 × 65,250.44
  4. Step 4: Simplify right side
    106,817.48x = 10,449,193,716.52
  5. Step 5: Solve for x
    x = 10,449,193,716.52/106,817.48
  6. Step 6: Final answer
    x = 97,822.88

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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.