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Finding the Fourth Proportional to 232,413.98, 320,741.80 and 182,025.50

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Solution

The fourth proportional to 232,413.98, 320,741.80 and 182,025.50 is: 251,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,413.98 : 320,741.80 = 182,025.50 : x
  2. Step 2: Convert to fraction form
    232,413.98/320,741.80 = 182,025.50/x
  3. Step 3: Cross multiply
    232,413.98x = 320,741.80 × 182,025.50
  4. Step 4: Simplify right side
    232,413.98x = 58,383,186,515.90
  5. Step 5: Solve for x
    x = 58,383,186,515.90/232,413.98
  6. Step 6: Final answer
    x = 251,203.42

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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.