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Finding the Fourth Proportional to 192,858.96, 289,295.16 and 59,727.12

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Solution

The fourth proportional to 192,858.96, 289,295.16 and 59,727.12 is: 89,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,858.96 : 289,295.16 = 59,727.12 : x
  2. Step 2: Convert to fraction form
    192,858.96/289,295.16 = 59,727.12/x
  3. Step 3: Cross multiply
    192,858.96x = 289,295.16 × 59,727.12
  4. Step 4: Simplify right side
    192,858.96x = 17,278,766,736.74
  5. Step 5: Solve for x
    x = 17,278,766,736.74/192,858.96
  6. Step 6: Final answer
    x = 89,592.76

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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.