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Finding the Fourth Proportional to 422,409.36, 633,561.16 and 138,076.08

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Solution

The fourth proportional to 422,409.36, 633,561.16 and 138,076.08 is: 207,096.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,409.36 : 633,561.16 = 138,076.08 : x
  2. Step 2: Convert to fraction form
    422,409.36/633,561.16 = 138,076.08/x
  3. Step 3: Cross multiply
    422,409.36x = 633,561.16 × 138,076.08
  4. Step 4: Simplify right side
    422,409.36x = 87,479,641,413.05
  5. Step 5: Solve for x
    x = 87,479,641,413.05/422,409.36
  6. Step 6: Final answer
    x = 207,096.83

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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.