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Finding the Fourth Proportional to 105,413.62, 145,474.26 and 60,090.78

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Solution

The fourth proportional to 105,413.62, 145,474.26 and 60,090.78 is: 82,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,413.62 : 145,474.26 = 60,090.78 : x
  2. Step 2: Convert to fraction form
    105,413.62/145,474.26 = 60,090.78/x
  3. Step 3: Cross multiply
    105,413.62x = 145,474.26 × 60,090.78
  4. Step 4: Simplify right side
    105,413.62x = 8,741,661,753.32
  5. Step 5: Solve for x
    x = 8,741,661,753.32/105,413.62
  6. Step 6: Final answer
    x = 82,927.25

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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.