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Finding the Fourth Proportional to 117,097.92, 175,647 and 54,812.16

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Solution

The fourth proportional to 117,097.92, 175,647 and 54,812.16 is: 82,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,097.92 : 175,647 = 54,812.16 : x
  2. Step 2: Convert to fraction form
    117,097.92/175,647 = 54,812.16/x
  3. Step 3: Cross multiply
    117,097.92x = 175,647 × 54,812.16
  4. Step 4: Simplify right side
    117,097.92x = 9,627,591,467.52
  5. Step 5: Solve for x
    x = 9,627,591,467.52/117,097.92
  6. Step 6: Final answer
    x = 82,218.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.