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Finding the Fourth Proportional to 192,170.57, 287,864.24 and 116,222.90

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Solution

The fourth proportional to 192,170.57, 287,864.24 and 116,222.90 is: 174,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,170.57 : 287,864.24 = 116,222.90 : x
  2. Step 2: Convert to fraction form
    192,170.57/287,864.24 = 116,222.90/x
  3. Step 3: Cross multiply
    192,170.57x = 287,864.24 × 116,222.90
  4. Step 4: Simplify right side
    192,170.57x = 33,456,414,758.66
  5. Step 5: Solve for x
    x = 33,456,414,758.66/192,170.57
  6. Step 6: Final answer
    x = 174,097.50

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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.