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Finding the Fourth Proportional to 122,160.43, 183,238.05 and 33,413.94

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Solution

The fourth proportional to 122,160.43, 183,238.05 and 33,413.94 is: 50,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,160.43 : 183,238.05 = 33,413.94 : x
  2. Step 2: Convert to fraction form
    122,160.43/183,238.05 = 33,413.94/x
  3. Step 3: Cross multiply
    122,160.43x = 183,238.05 × 33,413.94
  4. Step 4: Simplify right side
    122,160.43x = 6,122,705,208.42
  5. Step 5: Solve for x
    x = 6,122,705,208.42/122,160.43
  6. Step 6: Final answer
    x = 50,120.20

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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.