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Finding the Fourth Proportional to 225,793.60, 311,629.23 and 144,156.73

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Solution

The fourth proportional to 225,793.60, 311,629.23 and 144,156.73 is: 198,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,793.60 : 311,629.23 = 144,156.73 : x
  2. Step 2: Convert to fraction form
    225,793.60/311,629.23 = 144,156.73/x
  3. Step 3: Cross multiply
    225,793.60x = 311,629.23 × 144,156.73
  4. Step 4: Simplify right side
    225,793.60x = 44,923,450,769.22
  5. Step 5: Solve for x
    x = 44,923,450,769.22/225,793.60
  6. Step 6: Final answer
    x = 198,958.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.