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Finding the Fourth Proportional to 207,257.70, 310,704.30 and 140,481.30

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Solution

The fourth proportional to 207,257.70, 310,704.30 and 140,481.30 is: 210,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,257.70 : 310,704.30 = 140,481.30 : x
  2. Step 2: Convert to fraction form
    207,257.70/310,704.30 = 140,481.30/x
  3. Step 3: Cross multiply
    207,257.70x = 310,704.30 × 140,481.30
  4. Step 4: Simplify right side
    207,257.70x = 43,648,143,979.59
  5. Step 5: Solve for x
    x = 43,648,143,979.59/207,257.70
  6. Step 6: Final answer
    x = 210,598.42

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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.