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Finding the Fourth Proportional to 192,665.82, 289,081.76 and 80,368.15

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Solution

The fourth proportional to 192,665.82, 289,081.76 and 80,368.15 is: 120,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,665.82 : 289,081.76 = 80,368.15 : x
  2. Step 2: Convert to fraction form
    192,665.82/289,081.76 = 80,368.15/x
  3. Step 3: Cross multiply
    192,665.82x = 289,081.76 × 80,368.15
  4. Step 4: Simplify right side
    192,665.82x = 23,232,966,119.50
  5. Step 5: Solve for x
    x = 23,232,966,119.50/192,665.82
  6. Step 6: Final answer
    x = 120,586.86

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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.