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Finding the Fourth Proportional to 253,874.44, 350,346.73 and 140,704.48

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Solution

The fourth proportional to 253,874.44, 350,346.73 and 140,704.48 is: 194,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,874.44 : 350,346.73 = 140,704.48 : x
  2. Step 2: Convert to fraction form
    253,874.44/350,346.73 = 140,704.48/x
  3. Step 3: Cross multiply
    253,874.44x = 350,346.73 × 140,704.48
  4. Step 4: Simplify right side
    253,874.44x = 49,295,353,760.83
  5. Step 5: Solve for x
    x = 49,295,353,760.83/253,874.44
  6. Step 6: Final answer
    x = 194,172.18

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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.