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Finding the Fourth Proportional to 263,760.34, 363,989.34 and 142,902.46

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Solution

The fourth proportional to 263,760.34, 363,989.34 and 142,902.46 is: 197,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,760.34 : 363,989.34 = 142,902.46 : x
  2. Step 2: Convert to fraction form
    263,760.34/363,989.34 = 142,902.46/x
  3. Step 3: Cross multiply
    263,760.34x = 363,989.34 × 142,902.46
  4. Step 4: Simplify right side
    263,760.34x = 52,014,972,099.78
  5. Step 5: Solve for x
    x = 52,014,972,099.78/263,760.34
  6. Step 6: Final answer
    x = 197,205.43

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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.