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Finding the Fourth Proportional to 122,984.66, 184,413.66 and 56,367.74

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Solution

The fourth proportional to 122,984.66, 184,413.66 and 56,367.74 is: 84,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,984.66 : 184,413.66 = 56,367.74 : x
  2. Step 2: Convert to fraction form
    122,984.66/184,413.66 = 56,367.74/x
  3. Step 3: Cross multiply
    122,984.66x = 184,413.66 × 56,367.74
  4. Step 4: Simplify right side
    122,984.66x = 10,394,981,239.33
  5. Step 5: Solve for x
    x = 10,394,981,239.33/122,984.66
  6. Step 6: Final answer
    x = 84,522.58

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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.