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Finding the Fourth Proportional to 165,722.60, 248,778.30 and 164,556.20

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Solution

The fourth proportional to 165,722.60, 248,778.30 and 164,556.20 is: 247,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,722.60 : 248,778.30 = 164,556.20 : x
  2. Step 2: Convert to fraction form
    165,722.60/248,778.30 = 164,556.20/x
  3. Step 3: Cross multiply
    165,722.60x = 248,778.30 × 164,556.20
  4. Step 4: Simplify right side
    165,722.60x = 40,938,011,690.46
  5. Step 5: Solve for x
    x = 40,938,011,690.46/165,722.60
  6. Step 6: Final answer
    x = 247,027.33

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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.