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Finding the Fourth Proportional to 262,157, 393,236.94 and 65,165

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Solution

The fourth proportional to 262,157, 393,236.94 and 65,165 is: 97,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,157 : 393,236.94 = 65,165 : x
  2. Step 2: Convert to fraction form
    262,157/393,236.94 = 65,165/x
  3. Step 3: Cross multiply
    262,157x = 393,236.94 × 65,165
  4. Step 4: Simplify right side
    262,157x = 25,625,285,195.10
  5. Step 5: Solve for x
    x = 25,625,285,195.10/262,157
  6. Step 6: Final answer
    x = 97,747.86

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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.