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Finding the Fourth Proportional to 106,843.40, 160,343.84 and 50,683.68

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Solution

The fourth proportional to 106,843.40, 160,343.84 and 50,683.68 is: 76,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,843.40 : 160,343.84 = 50,683.68 : x
  2. Step 2: Convert to fraction form
    106,843.40/160,343.84 = 50,683.68/x
  3. Step 3: Cross multiply
    106,843.40x = 160,343.84 × 50,683.68
  4. Step 4: Simplify right side
    106,843.40x = 8,126,815,876.53
  5. Step 5: Solve for x
    x = 8,126,815,876.53/106,843.40
  6. Step 6: Final answer
    x = 76,062.87

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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.