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Finding the Fourth Proportional to 200,446.23, 300,724.70 and 178,413.57

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Solution

The fourth proportional to 200,446.23, 300,724.70 and 178,413.57 is: 267,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,446.23 : 300,724.70 = 178,413.57 : x
  2. Step 2: Convert to fraction form
    200,446.23/300,724.70 = 178,413.57/x
  3. Step 3: Cross multiply
    200,446.23x = 300,724.70 × 178,413.57
  4. Step 4: Simplify right side
    200,446.23x = 53,653,365,810.56
  5. Step 5: Solve for x
    x = 53,653,365,810.56/200,446.23
  6. Step 6: Final answer
    x = 267,669.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.