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Finding the Fourth Proportional to 165,763.20, 248,644.80 and 82,819.20

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Solution

The fourth proportional to 165,763.20, 248,644.80 and 82,819.20 is: 124,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,763.20 : 248,644.80 = 82,819.20 : x
  2. Step 2: Convert to fraction form
    165,763.20/248,644.80 = 82,819.20/x
  3. Step 3: Cross multiply
    165,763.20x = 248,644.80 × 82,819.20
  4. Step 4: Simplify right side
    165,763.20x = 20,592,563,420.16
  5. Step 5: Solve for x
    x = 20,592,563,420.16/165,763.20
  6. Step 6: Final answer
    x = 124,228.80

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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.