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Finding the Fourth Proportional to 192,947.29, 289,266.38 and 91,694.52

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Solution

The fourth proportional to 192,947.29, 289,266.38 and 91,694.52 is: 137,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,947.29 : 289,266.38 = 91,694.52 : x
  2. Step 2: Convert to fraction form
    192,947.29/289,266.38 = 91,694.52/x
  3. Step 3: Cross multiply
    192,947.29x = 289,266.38 × 91,694.52
  4. Step 4: Simplify right side
    192,947.29x = 26,524,141,407.77
  5. Step 5: Solve for x
    x = 26,524,141,407.77/192,947.29
  6. Step 6: Final answer
    x = 137,468.33

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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.