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Finding the Fourth Proportional to 167,048.56, 250,453.78 and 78,253.64

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Solution

The fourth proportional to 167,048.56, 250,453.78 and 78,253.64 is: 117,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,048.56 : 250,453.78 = 78,253.64 : x
  2. Step 2: Convert to fraction form
    167,048.56/250,453.78 = 78,253.64/x
  3. Step 3: Cross multiply
    167,048.56x = 250,453.78 × 78,253.64
  4. Step 4: Simplify right side
    167,048.56x = 19,598,919,936.76
  5. Step 5: Solve for x
    x = 19,598,919,936.76/167,048.56
  6. Step 6: Final answer
    x = 117,324.69

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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.