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Finding the Fourth Proportional to 216,075.30, 298,198.98 and 120,583.62

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Solution

The fourth proportional to 216,075.30, 298,198.98 and 120,583.62 is: 166,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,075.30 : 298,198.98 = 120,583.62 : x
  2. Step 2: Convert to fraction form
    216,075.30/298,198.98 = 120,583.62/x
  3. Step 3: Cross multiply
    216,075.30x = 298,198.98 × 120,583.62
  4. Step 4: Simplify right side
    216,075.30x = 35,957,912,488.71
  5. Step 5: Solve for x
    x = 35,957,912,488.71/216,075.30
  6. Step 6: Final answer
    x = 166,413.80

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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.