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Finding the Fourth Proportional to 165,700.20, 248,582.70 and 65,843.40

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Solution

The fourth proportional to 165,700.20, 248,582.70 and 65,843.40 is: 98,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,700.20 : 248,582.70 = 65,843.40 : x
  2. Step 2: Convert to fraction form
    165,700.20/248,582.70 = 65,843.40/x
  3. Step 3: Cross multiply
    165,700.20x = 248,582.70 × 65,843.40
  4. Step 4: Simplify right side
    165,700.20x = 16,367,530,149.18
  5. Step 5: Solve for x
    x = 16,367,530,149.18/165,700.20
  6. Step 6: Final answer
    x = 98,777.97

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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.