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Finding the Fourth Proportional to 140,147.44, 210,096.12 and 51,380.22

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Solution

The fourth proportional to 140,147.44, 210,096.12 and 51,380.22 is: 77,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,147.44 : 210,096.12 = 51,380.22 : x
  2. Step 2: Convert to fraction form
    140,147.44/210,096.12 = 51,380.22/x
  3. Step 3: Cross multiply
    140,147.44x = 210,096.12 × 51,380.22
  4. Step 4: Simplify right side
    140,147.44x = 10,794,784,866.75
  5. Step 5: Solve for x
    x = 10,794,784,866.75/140,147.44
  6. Step 6: Final answer
    x = 77,024.49

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