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Finding the Fourth Proportional to 165,750.30, 248,625.45 and 54,942.30

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Solution

The fourth proportional to 165,750.30, 248,625.45 and 54,942.30 is: 82,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,750.30 : 248,625.45 = 54,942.30 : x
  2. Step 2: Convert to fraction form
    165,750.30/248,625.45 = 54,942.30/x
  3. Step 3: Cross multiply
    165,750.30x = 248,625.45 × 54,942.30
  4. Step 4: Simplify right side
    165,750.30x = 13,660,054,061.54
  5. Step 5: Solve for x
    x = 13,660,054,061.54/165,750.30
  6. Step 6: Final answer
    x = 82,413.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.