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Finding the Fourth Proportional to 137,086.72, 205,647 and 66,913

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Solution

The fourth proportional to 137,086.72, 205,647 and 66,913 is: 100,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,086.72 : 205,647 = 66,913 : x
  2. Step 2: Convert to fraction form
    137,086.72/205,647 = 66,913/x
  3. Step 3: Cross multiply
    137,086.72x = 205,647 × 66,913
  4. Step 4: Simplify right side
    137,086.72x = 13,760,457,711
  5. Step 5: Solve for x
    x = 13,760,457,711/137,086.72
  6. Step 6: Final answer
    x = 100,377.76

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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.