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Finding the Fourth Proportional to 117,114.24, 161,618.52 and 65,431.44

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Solution

The fourth proportional to 117,114.24, 161,618.52 and 65,431.44 is: 90,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,114.24 : 161,618.52 = 65,431.44 : x
  2. Step 2: Convert to fraction form
    117,114.24/161,618.52 = 65,431.44/x
  3. Step 3: Cross multiply
    117,114.24x = 161,618.52 × 65,431.44
  4. Step 4: Simplify right side
    117,114.24x = 10,574,932,494.27
  5. Step 5: Solve for x
    x = 10,574,932,494.27/117,114.24
  6. Step 6: Final answer
    x = 90,295.87

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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.