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Finding the Fourth Proportional to 84,190, 116,183.82 and 46,463.44

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Solution

The fourth proportional to 84,190, 116,183.82 and 46,463.44 is: 64,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,190 : 116,183.82 = 46,463.44 : x
  2. Step 2: Convert to fraction form
    84,190/116,183.82 = 46,463.44/x
  3. Step 3: Cross multiply
    84,190x = 116,183.82 × 46,463.44
  4. Step 4: Simplify right side
    84,190x = 5,398,299,949.54
  5. Step 5: Solve for x
    x = 5,398,299,949.54/84,190
  6. Step 6: Final answer
    x = 64,120.44

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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.