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Finding the Fourth Proportional to 165,790.26, 228,825.84 and 97,781.86

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Solution

The fourth proportional to 165,790.26, 228,825.84 and 97,781.86 is: 134,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,790.26 : 228,825.84 = 97,781.86 : x
  2. Step 2: Convert to fraction form
    165,790.26/228,825.84 = 97,781.86/x
  3. Step 3: Cross multiply
    165,790.26x = 228,825.84 × 97,781.86
  4. Step 4: Simplify right side
    165,790.26x = 22,375,016,251.26
  5. Step 5: Solve for x
    x = 22,375,016,251.26/165,790.26
  6. Step 6: Final answer
    x = 134,959.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.