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Finding the Fourth Proportional to 165,375.60, 248,063.40 and 164,209.20

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Solution

The fourth proportional to 165,375.60, 248,063.40 and 164,209.20 is: 246,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,375.60 : 248,063.40 = 164,209.20 : x
  2. Step 2: Convert to fraction form
    165,375.60/248,063.40 = 164,209.20/x
  3. Step 3: Cross multiply
    165,375.60x = 248,063.40 × 164,209.20
  4. Step 4: Simplify right side
    165,375.60x = 40,734,292,463.28
  5. Step 5: Solve for x
    x = 40,734,292,463.28/165,375.60
  6. Step 6: Final answer
    x = 246,313.80

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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.