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Finding the Fourth Proportional to 322,086.76, 482,980.21 and 119,541.80

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Solution

The fourth proportional to 322,086.76, 482,980.21 and 119,541.80 is: 179,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,086.76 : 482,980.21 = 119,541.80 : x
  2. Step 2: Convert to fraction form
    322,086.76/482,980.21 = 119,541.80/x
  3. Step 3: Cross multiply
    322,086.76x = 482,980.21 × 119,541.80
  4. Step 4: Simplify right side
    322,086.76x = 57,736,324,576.37
  5. Step 5: Solve for x
    x = 57,736,324,576.37/322,086.76
  6. Step 6: Final answer
    x = 179,257.06

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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.