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Finding the Fourth Proportional to 204,413.50, 306,623.01 and 64,172.14

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Solution

The fourth proportional to 204,413.50, 306,623.01 and 64,172.14 is: 96,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,413.50 : 306,623.01 = 64,172.14 : x
  2. Step 2: Convert to fraction form
    204,413.50/306,623.01 = 64,172.14/x
  3. Step 3: Cross multiply
    204,413.50x = 306,623.01 × 64,172.14
  4. Step 4: Simplify right side
    204,413.50x = 19,676,654,724.94
  5. Step 5: Solve for x
    x = 19,676,654,724.94/204,413.50
  6. Step 6: Final answer
    x = 96,259.08

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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.