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Finding the Fourth Proportional to 204,883.92, 307,314.81 and 78,584.67

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Solution

The fourth proportional to 204,883.92, 307,314.81 and 78,584.67 is: 117,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,883.92 : 307,314.81 = 78,584.67 : x
  2. Step 2: Convert to fraction form
    204,883.92/307,314.81 = 78,584.67/x
  3. Step 3: Cross multiply
    204,883.92x = 307,314.81 × 78,584.67
  4. Step 4: Simplify right side
    204,883.92x = 24,150,232,929.96
  5. Step 5: Solve for x
    x = 24,150,232,929.96/204,883.92
  6. Step 6: Final answer
    x = 117,872.76

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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.