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Finding the Fourth Proportional to 225,665.62, 311,452.85 and 144,029.12

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Solution

The fourth proportional to 225,665.62, 311,452.85 and 144,029.12 is: 198,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,665.62 : 311,452.85 = 144,029.12 : x
  2. Step 2: Convert to fraction form
    225,665.62/311,452.85 = 144,029.12/x
  3. Step 3: Cross multiply
    225,665.62x = 311,452.85 × 144,029.12
  4. Step 4: Simplify right side
    225,665.62x = 44,858,278,709.80
  5. Step 5: Solve for x
    x = 44,858,278,709.80/225,665.62
  6. Step 6: Final answer
    x = 198,782.07

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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.