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Finding the Fourth Proportional to 192,096.25, 288,111.87 and 70,491.76

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Solution

The fourth proportional to 192,096.25, 288,111.87 and 70,491.76 is: 105,725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,096.25 : 288,111.87 = 70,491.76 : x
  2. Step 2: Convert to fraction form
    192,096.25/288,111.87 = 70,491.76/x
  3. Step 3: Cross multiply
    192,096.25x = 288,111.87 × 70,491.76
  4. Step 4: Simplify right side
    192,096.25x = 20,309,512,072.91
  5. Step 5: Solve for x
    x = 20,309,512,072.91/192,096.25
  6. Step 6: Final answer
    x = 105,725.71

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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.