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Finding the Fourth Proportional to 164,757.92, 247,136.81 and 46,413.81

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Solution

The fourth proportional to 164,757.92, 247,136.81 and 46,413.81 is: 69,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,757.92 : 247,136.81 = 46,413.81 : x
  2. Step 2: Convert to fraction form
    164,757.92/247,136.81 = 46,413.81/x
  3. Step 3: Cross multiply
    164,757.92x = 247,136.81 × 46,413.81
  4. Step 4: Simplify right side
    164,757.92x = 11,470,560,711.28
  5. Step 5: Solve for x
    x = 11,470,560,711.28/164,757.92
  6. Step 6: Final answer
    x = 69,620.70

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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.