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Finding the Fourth Proportional to 165,731.20, 248,596.80 and 143,180.80

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Solution

The fourth proportional to 165,731.20, 248,596.80 and 143,180.80 is: 214,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,731.20 : 248,596.80 = 143,180.80 : x
  2. Step 2: Convert to fraction form
    165,731.20/248,596.80 = 143,180.80/x
  3. Step 3: Cross multiply
    165,731.20x = 248,596.80 × 143,180.80
  4. Step 4: Simplify right side
    165,731.20x = 35,594,288,701.44
  5. Step 5: Solve for x
    x = 35,594,288,701.44/165,731.20
  6. Step 6: Final answer
    x = 214,771.20

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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.