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Finding the Fourth Proportional to 177,371.07, 266,049.16 and 82,568.67

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Solution

The fourth proportional to 177,371.07, 266,049.16 and 82,568.67 is: 123,849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,371.07 : 266,049.16 = 82,568.67 : x
  2. Step 2: Convert to fraction form
    177,371.07/266,049.16 = 82,568.67/x
  3. Step 3: Cross multiply
    177,371.07x = 266,049.16 × 82,568.67
  4. Step 4: Simplify right side
    177,371.07x = 21,967,324,091.71
  5. Step 5: Solve for x
    x = 21,967,324,091.71/177,371.07
  6. Step 6: Final answer
    x = 123,849.54

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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.