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Finding the Fourth Proportional to 273,086.58, 409,815.63 and 167,583.54

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Solution

The fourth proportional to 273,086.58, 409,815.63 and 167,583.54 is: 251,489.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,086.58 : 409,815.63 = 167,583.54 : x
  2. Step 2: Convert to fraction form
    273,086.58/409,815.63 = 167,583.54/x
  3. Step 3: Cross multiply
    273,086.58x = 409,815.63 × 167,583.54
  4. Step 4: Simplify right side
    273,086.58x = 68,678,354,022.73
  5. Step 5: Solve for x
    x = 68,678,354,022.73/273,086.58
  6. Step 6: Final answer
    x = 251,489.30

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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.