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Finding the Fourth Proportional to 167,564.45, 251,365.14 and 49,245

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Solution

The fourth proportional to 167,564.45, 251,365.14 and 49,245 is: 73,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,564.45 : 251,365.14 = 49,245 : x
  2. Step 2: Convert to fraction form
    167,564.45/251,365.14 = 49,245/x
  3. Step 3: Cross multiply
    167,564.45x = 251,365.14 × 49,245
  4. Step 4: Simplify right side
    167,564.45x = 12,378,476,319.30
  5. Step 5: Solve for x
    x = 12,378,476,319.30/167,564.45
  6. Step 6: Final answer
    x = 73,872.93

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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.