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Finding the Fourth Proportional to 202,400.72, 279,309 and 112,974.80

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Solution

The fourth proportional to 202,400.72, 279,309 and 112,974.80 is: 155,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,400.72 : 279,309 = 112,974.80 : x
  2. Step 2: Convert to fraction form
    202,400.72/279,309 = 112,974.80/x
  3. Step 3: Cross multiply
    202,400.72x = 279,309 × 112,974.80
  4. Step 4: Simplify right side
    202,400.72x = 31,554,878,413.20
  5. Step 5: Solve for x
    x = 31,554,878,413.20/202,400.72
  6. Step 6: Final answer
    x = 155,902.99

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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.