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Finding the Fourth Proportional to 192,706.92, 289,077.66 and 52,466.28

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Solution

The fourth proportional to 192,706.92, 289,077.66 and 52,466.28 is: 78,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,706.92 : 289,077.66 = 52,466.28 : x
  2. Step 2: Convert to fraction form
    192,706.92/289,077.66 = 52,466.28/x
  3. Step 3: Cross multiply
    192,706.92x = 289,077.66 × 52,466.28
  4. Step 4: Simplify right side
    192,706.92x = 15,166,829,451.30
  5. Step 5: Solve for x
    x = 15,166,829,451.30/192,706.92
  6. Step 6: Final answer
    x = 78,704.12

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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.