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Finding the Fourth Proportional to 165,401.80, 248,102.70 and 86,540.20

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Solution

The fourth proportional to 165,401.80, 248,102.70 and 86,540.20 is: 129,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,401.80 : 248,102.70 = 86,540.20 : x
  2. Step 2: Convert to fraction form
    165,401.80/248,102.70 = 86,540.20/x
  3. Step 3: Cross multiply
    165,401.80x = 248,102.70 × 86,540.20
  4. Step 4: Simplify right side
    165,401.80x = 21,470,857,278.54
  5. Step 5: Solve for x
    x = 21,470,857,278.54/165,401.80
  6. Step 6: Final answer
    x = 129,810.30

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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.