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Finding the Fourth Proportional to 194,974.92, 269,087.94 and 118,497.96

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Solution

The fourth proportional to 194,974.92, 269,087.94 and 118,497.96 is: 163,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,974.92 : 269,087.94 = 118,497.96 : x
  2. Step 2: Convert to fraction form
    194,974.92/269,087.94 = 118,497.96/x
  3. Step 3: Cross multiply
    194,974.92x = 269,087.94 × 118,497.96
  4. Step 4: Simplify right side
    194,974.92x = 31,886,371,950.60
  5. Step 5: Solve for x
    x = 31,886,371,950.60/194,974.92
  6. Step 6: Final answer
    x = 163,540.89

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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.