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Finding the Fourth Proportional to 84,218.92, 116,173.38 and 54,410.92

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Solution

The fourth proportional to 84,218.92, 116,173.38 and 54,410.92 is: 75,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218.92 : 116,173.38 = 54,410.92 : x
  2. Step 2: Convert to fraction form
    84,218.92/116,173.38 = 54,410.92/x
  3. Step 3: Cross multiply
    84,218.92x = 116,173.38 × 54,410.92
  4. Step 4: Simplify right side
    84,218.92x = 6,321,100,485.31
  5. Step 5: Solve for x
    x = 6,321,100,485.31/84,218.92
  6. Step 6: Final answer
    x = 75,055.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.