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Finding the Fourth Proportional to 217,311, 299,890.26 and 126,729.78

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Solution

The fourth proportional to 217,311, 299,890.26 and 126,729.78 is: 174,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,311 : 299,890.26 = 126,729.78 : x
  2. Step 2: Convert to fraction form
    217,311/299,890.26 = 126,729.78/x
  3. Step 3: Cross multiply
    217,311x = 299,890.26 × 126,729.78
  4. Step 4: Simplify right side
    217,311x = 38,005,026,673.94
  5. Step 5: Solve for x
    x = 38,005,026,673.94/217,311
  6. Step 6: Final answer
    x = 174,887.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.