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Finding the Fourth Proportional to 171,834, 237,134.16 and 96,387.36

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Solution

The fourth proportional to 171,834, 237,134.16 and 96,387.36 is: 133,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,834 : 237,134.16 = 96,387.36 : x
  2. Step 2: Convert to fraction form
    171,834/237,134.16 = 96,387.36/x
  3. Step 3: Cross multiply
    171,834x = 237,134.16 × 96,387.36
  4. Step 4: Simplify right side
    171,834x = 22,856,735,648.22
  5. Step 5: Solve for x
    x = 22,856,735,648.22/171,834
  6. Step 6: Final answer
    x = 133,016.37

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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.