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Finding the Fourth Proportional to 263,770.86, 364,003.83 and 142,912.94

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Solution

The fourth proportional to 263,770.86, 364,003.83 and 142,912.94 is: 197,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,770.86 : 364,003.83 = 142,912.94 : x
  2. Step 2: Convert to fraction form
    263,770.86/364,003.83 = 142,912.94/x
  3. Step 3: Cross multiply
    263,770.86x = 364,003.83 × 142,912.94
  4. Step 4: Simplify right side
    263,770.86x = 52,020,857,516.56
  5. Step 5: Solve for x
    x = 52,020,857,516.56/263,770.86
  6. Step 6: Final answer
    x = 197,219.88

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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.