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Finding the Fourth Proportional to 105,273.26, 157,934.68 and 34,195.67

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Solution

The fourth proportional to 105,273.26, 157,934.68 and 34,195.67 is: 51,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,273.26 : 157,934.68 = 34,195.67 : x
  2. Step 2: Convert to fraction form
    105,273.26/157,934.68 = 34,195.67/x
  3. Step 3: Cross multiply
    105,273.26x = 157,934.68 × 34,195.67
  4. Step 4: Simplify right side
    105,273.26x = 5,400,682,198.84
  5. Step 5: Solve for x
    x = 5,400,682,198.84/105,273.26
  6. Step 6: Final answer
    x = 51,301.56

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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.