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Finding the Fourth Proportional to 312,664.92, 468,993.93 and 76,007.82

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Solution

The fourth proportional to 312,664.92, 468,993.93 and 76,007.82 is: 114,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,664.92 : 468,993.93 = 76,007.82 : x
  2. Step 2: Convert to fraction form
    312,664.92/468,993.93 = 76,007.82/x
  3. Step 3: Cross multiply
    312,664.92x = 468,993.93 × 76,007.82
  4. Step 4: Simplify right side
    312,664.92x = 35,647,206,212.53
  5. Step 5: Solve for x
    x = 35,647,206,212.53/312,664.92
  6. Step 6: Final answer
    x = 114,010.89

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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.