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Finding the Fourth Proportional to 106,902.99, 160,413.21 and 54,316.98

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Solution

The fourth proportional to 106,902.99, 160,413.21 and 54,316.98 is: 81,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902.99 : 160,413.21 = 54,316.98 : x
  2. Step 2: Convert to fraction form
    106,902.99/160,413.21 = 54,316.98/x
  3. Step 3: Cross multiply
    106,902.99x = 160,413.21 × 54,316.98
  4. Step 4: Simplify right side
    106,902.99x = 8,713,161,119.31
  5. Step 5: Solve for x
    x = 8,713,161,119.31/106,902.99
  6. Step 6: Final answer
    x = 81,505.31

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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.