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Finding the Fourth Proportional to 192,163.72, 287,900.52 and 117,245.20

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Solution

The fourth proportional to 192,163.72, 287,900.52 and 117,245.20 is: 175,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,163.72 : 287,900.52 = 117,245.20 : x
  2. Step 2: Convert to fraction form
    192,163.72/287,900.52 = 117,245.20/x
  3. Step 3: Cross multiply
    192,163.72x = 287,900.52 × 117,245.20
  4. Step 4: Simplify right side
    192,163.72x = 33,754,954,047.50
  5. Step 5: Solve for x
    x = 33,754,954,047.50/192,163.72
  6. Step 6: Final answer
    x = 175,657.27

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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.