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Finding the Fourth Proportional to 202,942.20, 304,413.30 and 53,182.20

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Solution

The fourth proportional to 202,942.20, 304,413.30 and 53,182.20 is: 79,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.20 : 304,413.30 = 53,182.20 : x
  2. Step 2: Convert to fraction form
    202,942.20/304,413.30 = 53,182.20/x
  3. Step 3: Cross multiply
    202,942.20x = 304,413.30 × 53,182.20
  4. Step 4: Simplify right side
    202,942.20x = 16,189,369,003.26
  5. Step 5: Solve for x
    x = 16,189,369,003.26/202,942.20
  6. Step 6: Final answer
    x = 79,773.30

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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.