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Finding the Fourth Proportional to 253,914.36, 350,413.74 and 140,739

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Solution

The fourth proportional to 253,914.36, 350,413.74 and 140,739 is: 194,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,914.36 : 350,413.74 = 140,739 : x
  2. Step 2: Convert to fraction form
    253,914.36/350,413.74 = 140,739/x
  3. Step 3: Cross multiply
    253,914.36x = 350,413.74 × 140,739
  4. Step 4: Simplify right side
    253,914.36x = 49,316,879,353.86
  5. Step 5: Solve for x
    x = 49,316,879,353.86/253,914.36
  6. Step 6: Final answer
    x = 194,226.43

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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.