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Finding the Fourth Proportional to 192,814.82, 289,154.49 and 57,838.65

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Solution

The fourth proportional to 192,814.82, 289,154.49 and 57,838.65 is: 86,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,814.82 : 289,154.49 = 57,838.65 : x
  2. Step 2: Convert to fraction form
    192,814.82/289,154.49 = 57,838.65/x
  3. Step 3: Cross multiply
    192,814.82x = 289,154.49 × 57,838.65
  4. Step 4: Simplify right side
    192,814.82x = 16,724,305,343.04
  5. Step 5: Solve for x
    x = 16,724,305,343.04/192,814.82
  6. Step 6: Final answer
    x = 86,737.66

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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.