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Finding the Fourth Proportional to 167,140.92, 250,708.14 and 40,782

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Solution

The fourth proportional to 167,140.92, 250,708.14 and 40,782 is: 61,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,140.92 : 250,708.14 = 40,782 : x
  2. Step 2: Convert to fraction form
    167,140.92/250,708.14 = 40,782/x
  3. Step 3: Cross multiply
    167,140.92x = 250,708.14 × 40,782
  4. Step 4: Simplify right side
    167,140.92x = 10,224,379,365.48
  5. Step 5: Solve for x
    x = 10,224,379,365.48/167,140.92
  6. Step 6: Final answer
    x = 61,172.21

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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.