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Finding the Fourth Proportional to 165,706.60, 248,754.30 and 164,540.20

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Solution

The fourth proportional to 165,706.60, 248,754.30 and 164,540.20 is: 247,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,706.60 : 248,754.30 = 164,540.20 : x
  2. Step 2: Convert to fraction form
    165,706.60/248,754.30 = 164,540.20/x
  3. Step 3: Cross multiply
    165,706.60x = 248,754.30 × 164,540.20
  4. Step 4: Simplify right side
    165,706.60x = 40,930,082,272.86
  5. Step 5: Solve for x
    x = 40,930,082,272.86/165,706.60
  6. Step 6: Final answer
    x = 247,003.33

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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.