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Finding the Fourth Proportional to 192,109.92, 288,164.58 and 106,775.04

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Solution

The fourth proportional to 192,109.92, 288,164.58 and 106,775.04 is: 160,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,109.92 : 288,164.58 = 106,775.04 : x
  2. Step 2: Convert to fraction form
    192,109.92/288,164.58 = 106,775.04/x
  3. Step 3: Cross multiply
    192,109.92x = 288,164.58 × 106,775.04
  4. Step 4: Simplify right side
    192,109.92x = 30,768,784,556.08
  5. Step 5: Solve for x
    x = 30,768,784,556.08/192,109.92
  6. Step 6: Final answer
    x = 160,162.39

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1.5x scale

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.