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Finding the Fourth Proportional to 167,564.67, 251,344.81 and 41,206

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Solution

The fourth proportional to 167,564.67, 251,344.81 and 41,206 is: 61,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564.67 : 251,344.81 = 41,206 : x
  2. Step 2: Convert to fraction form
    167,564.67/251,344.81 = 41,206/x
  3. Step 3: Cross multiply
    167,564.67x = 251,344.81 × 41,206
  4. Step 4: Simplify right side
    167,564.67x = 10,356,914,240.86
  5. Step 5: Solve for x
    x = 10,356,914,240.86/167,564.67
  6. Step 6: Final answer
    x = 61,808.46

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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.