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Finding the Fourth Proportional to 165,744.38, 228,727.26 and 90,292.88

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Solution

The fourth proportional to 165,744.38, 228,727.26 and 90,292.88 is: 124,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744.38 : 228,727.26 = 90,292.88 : x
  2. Step 2: Convert to fraction form
    165,744.38/228,727.26 = 90,292.88/x
  3. Step 3: Cross multiply
    165,744.38x = 228,727.26 × 90,292.88
  4. Step 4: Simplify right side
    165,744.38x = 20,652,443,611.73
  5. Step 5: Solve for x
    x = 20,652,443,611.73/165,744.38
  6. Step 6: Final answer
    x = 124,604.18

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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.