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Finding the Fourth Proportional to 192,063.27, 288,094.91 and 51,821.90

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Solution

The fourth proportional to 192,063.27, 288,094.91 and 51,821.90 is: 77,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,063.27 : 288,094.91 = 51,821.90 : x
  2. Step 2: Convert to fraction form
    192,063.27/288,094.91 = 51,821.90/x
  3. Step 3: Cross multiply
    192,063.27x = 288,094.91 × 51,821.90
  4. Step 4: Simplify right side
    192,063.27x = 14,929,624,896.29
  5. Step 5: Solve for x
    x = 14,929,624,896.29/192,063.27
  6. Step 6: Final answer
    x = 77,732.85

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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.