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Finding the Fourth Proportional to 189,828.41, 261,951.95 and 104,940.41

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Solution

The fourth proportional to 189,828.41, 261,951.95 and 104,940.41 is: 144,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828.41 : 261,951.95 = 104,940.41 : x
  2. Step 2: Convert to fraction form
    189,828.41/261,951.95 = 104,940.41/x
  3. Step 3: Cross multiply
    189,828.41x = 261,951.95 × 104,940.41
  4. Step 4: Simplify right side
    189,828.41x = 27,489,345,033.30
  5. Step 5: Solve for x
    x = 27,489,345,033.30/189,828.41
  6. Step 6: Final answer
    x = 144,811.54

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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.