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Finding the Fourth Proportional to 166,413.40, 249,641.70 and 82,216.60

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Solution

The fourth proportional to 166,413.40, 249,641.70 and 82,216.60 is: 123,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,413.40 : 249,641.70 = 82,216.60 : x
  2. Step 2: Convert to fraction form
    166,413.40/249,641.70 = 82,216.60/x
  3. Step 3: Cross multiply
    166,413.40x = 249,641.70 × 82,216.60
  4. Step 4: Simplify right side
    166,413.40x = 20,524,691,792.22
  5. Step 5: Solve for x
    x = 20,524,691,792.22/166,413.40
  6. Step 6: Final answer
    x = 123,335.57

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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.