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Finding the Fourth Proportional to 84,976.94, 117,198.42 and 75,423.80

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Solution

The fourth proportional to 84,976.94, 117,198.42 and 75,423.80 is: 104,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,976.94 : 117,198.42 = 75,423.80 : x
  2. Step 2: Convert to fraction form
    84,976.94/117,198.42 = 75,423.80/x
  3. Step 3: Cross multiply
    84,976.94x = 117,198.42 × 75,423.80
  4. Step 4: Simplify right side
    84,976.94x = 8,839,550,190.40
  5. Step 5: Solve for x
    x = 8,839,550,190.40/84,976.94
  6. Step 6: Final answer
    x = 104,022.93

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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.