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Finding the Fourth Proportional to 192,643.92, 288,936.72 and 52,413.48

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Solution

The fourth proportional to 192,643.92, 288,936.72 and 52,413.48 is: 78,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,643.92 : 288,936.72 = 52,413.48 : x
  2. Step 2: Convert to fraction form
    192,643.92/288,936.72 = 52,413.48/x
  3. Step 3: Cross multiply
    192,643.92x = 288,936.72 × 52,413.48
  4. Step 4: Simplify right side
    192,643.92x = 15,144,178,994.99
  5. Step 5: Solve for x
    x = 15,144,178,994.99/192,643.92
  6. Step 6: Final answer
    x = 78,612.29

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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.