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Finding the Fourth Proportional to 263,385.92, 363,469.80 and 142,524.56

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Solution

The fourth proportional to 263,385.92, 363,469.80 and 142,524.56 is: 196,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,385.92 : 363,469.80 = 142,524.56 : x
  2. Step 2: Convert to fraction form
    263,385.92/363,469.80 = 142,524.56/x
  3. Step 3: Cross multiply
    263,385.92x = 363,469.80 × 142,524.56
  4. Step 4: Simplify right side
    263,385.92x = 51,803,373,318.29
  5. Step 5: Solve for x
    x = 51,803,373,318.29/263,385.92
  6. Step 6: Final answer
    x = 196,682.39

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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.