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Finding the Fourth Proportional to 140,413.14, 193,770.12 and 76,751.19

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Solution

The fourth proportional to 140,413.14, 193,770.12 and 76,751.19 is: 105,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,413.14 : 193,770.12 = 76,751.19 : x
  2. Step 2: Convert to fraction form
    140,413.14/193,770.12 = 76,751.19/x
  3. Step 3: Cross multiply
    140,413.14x = 193,770.12 × 76,751.19
  4. Step 4: Simplify right side
    140,413.14x = 14,872,087,296.44
  5. Step 5: Solve for x
    x = 14,872,087,296.44/140,413.14
  6. Step 6: Final answer
    x = 105,916.63

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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.