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Finding the Fourth Proportional to 321,413.33, 482,129.10 and 121,696.49

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Solution

The fourth proportional to 321,413.33, 482,129.10 and 121,696.49 is: 182,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413.33 : 482,129.10 = 121,696.49 : x
  2. Step 2: Convert to fraction form
    321,413.33/482,129.10 = 121,696.49/x
  3. Step 3: Cross multiply
    321,413.33x = 482,129.10 × 121,696.49
  4. Step 4: Simplify right side
    321,413.33x = 58,673,419,196.86
  5. Step 5: Solve for x
    x = 58,673,419,196.86/321,413.33
  6. Step 6: Final answer
    x = 182,548.18

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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.