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Finding the Fourth Proportional to 194,992.96, 269,095.20 and 119,583.04

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Solution

The fourth proportional to 194,992.96, 269,095.20 and 119,583.04 is: 165,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,992.96 : 269,095.20 = 119,583.04 : x
  2. Step 2: Convert to fraction form
    194,992.96/269,095.20 = 119,583.04/x
  3. Step 3: Cross multiply
    194,992.96x = 269,095.20 × 119,583.04
  4. Step 4: Simplify right side
    194,992.96x = 32,179,222,065.41
  5. Step 5: Solve for x
    x = 32,179,222,065.41/194,992.96
  6. Step 6: Final answer
    x = 165,027.61

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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.