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Finding the Fourth Proportional to 140,147.70, 210,096.48 and 51,380.46

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Solution

The fourth proportional to 140,147.70, 210,096.48 and 51,380.46 is: 77,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,147.70 : 210,096.48 = 51,380.46 : x
  2. Step 2: Convert to fraction form
    140,147.70/210,096.48 = 51,380.46/x
  3. Step 3: Cross multiply
    140,147.70x = 210,096.48 × 51,380.46
  4. Step 4: Simplify right side
    140,147.70x = 10,794,853,786.78
  5. Step 5: Solve for x
    x = 10,794,853,786.78/140,147.70
  6. Step 6: Final answer
    x = 77,024.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.