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Finding the Fourth Proportional to 116,539, 160,824 and 66,238

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Solution

The fourth proportional to 116,539, 160,824 and 66,238 is: 91,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,539 : 160,824 = 66,238 : x
  2. Step 2: Convert to fraction form
    116,539/160,824 = 66,238/x
  3. Step 3: Cross multiply
    116,539x = 160,824 × 66,238
  4. Step 4: Simplify right side
    116,539x = 10,652,660,112
  5. Step 5: Solve for x
    x = 10,652,660,112/116,539
  6. Step 6: Final answer
    x = 91,408.54

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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.