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Finding the Fourth Proportional to 232,638.55, 321,003.45 and 145,413.33

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Solution

The fourth proportional to 232,638.55, 321,003.45 and 145,413.33 is: 200,646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,638.55 : 321,003.45 = 145,413.33 : x
  2. Step 2: Convert to fraction form
    232,638.55/321,003.45 = 145,413.33/x
  3. Step 3: Cross multiply
    232,638.55x = 321,003.45 × 145,413.33
  4. Step 4: Simplify right side
    232,638.55x = 46,678,180,605.99
  5. Step 5: Solve for x
    x = 46,678,180,605.99/232,638.55
  6. Step 6: Final answer
    x = 200,646.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.