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Finding the Fourth Proportional to 136,406.78, 188,250.82 and 82,694.06

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Solution

The fourth proportional to 136,406.78, 188,250.82 and 82,694.06 is: 114,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,406.78 : 188,250.82 = 82,694.06 : x
  2. Step 2: Convert to fraction form
    136,406.78/188,250.82 = 82,694.06/x
  3. Step 3: Cross multiply
    136,406.78x = 188,250.82 × 82,694.06
  4. Step 4: Simplify right side
    136,406.78x = 15,567,224,604.13
  5. Step 5: Solve for x
    x = 15,567,224,604.13/136,406.78
  6. Step 6: Final answer
    x = 114,123.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.