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Finding the Fourth Proportional to 110,196.92, 165,198.49 and 43,683.77

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Solution

The fourth proportional to 110,196.92, 165,198.49 and 43,683.77 is: 65,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,196.92 : 165,198.49 = 43,683.77 : x
  2. Step 2: Convert to fraction form
    110,196.92/165,198.49 = 43,683.77/x
  3. Step 3: Cross multiply
    110,196.92x = 165,198.49 × 43,683.77
  4. Step 4: Simplify right side
    110,196.92x = 7,216,493,145.29
  5. Step 5: Solve for x
    x = 7,216,493,145.29/110,196.92
  6. Step 6: Final answer
    x = 65,487.25

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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.