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Finding the Fourth Proportional to 110,906.69, 165,901.43 and 84,050.33

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Solution

The fourth proportional to 110,906.69, 165,901.43 and 84,050.33 is: 125,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,906.69 : 165,901.43 = 84,050.33 : x
  2. Step 2: Convert to fraction form
    110,906.69/165,901.43 = 84,050.33/x
  3. Step 3: Cross multiply
    110,906.69x = 165,901.43 × 84,050.33
  4. Step 4: Simplify right side
    110,906.69x = 13,944,069,319.59
  5. Step 5: Solve for x
    x = 13,944,069,319.59/110,906.69
  6. Step 6: Final answer
    x = 125,727.94

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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.