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Finding the Fourth Proportional to 275,619.86, 413,546.80 and 133,570.87

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Solution

The fourth proportional to 275,619.86, 413,546.80 and 133,570.87 is: 200,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,619.86 : 413,546.80 = 133,570.87 : x
  2. Step 2: Convert to fraction form
    275,619.86/413,546.80 = 133,570.87/x
  3. Step 3: Cross multiply
    275,619.86x = 413,546.80 × 133,570.87
  4. Step 4: Simplify right side
    275,619.86x = 55,237,806,561.66
  5. Step 5: Solve for x
    x = 55,237,806,561.66/275,619.86
  6. Step 6: Final answer
    x = 200,413.01

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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.