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Finding the Fourth Proportional to 207,198.72, 310,542.36 and 107,301.42

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Solution

The fourth proportional to 207,198.72, 310,542.36 and 107,301.42 is: 160,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,198.72 : 310,542.36 = 107,301.42 : x
  2. Step 2: Convert to fraction form
    207,198.72/310,542.36 = 107,301.42/x
  3. Step 3: Cross multiply
    207,198.72x = 310,542.36 × 107,301.42
  4. Step 4: Simplify right side
    207,198.72x = 33,321,636,198.15
  5. Step 5: Solve for x
    x = 33,321,636,198.15/207,198.72
  6. Step 6: Final answer
    x = 160,819.70

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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.