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Finding the Fourth Proportional to 273,299.86, 409,756.20 and 121,413.52

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Solution

The fourth proportional to 273,299.86, 409,756.20 and 121,413.52 is: 182,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,299.86 : 409,756.20 = 121,413.52 : x
  2. Step 2: Convert to fraction form
    273,299.86/409,756.20 = 121,413.52/x
  3. Step 3: Cross multiply
    273,299.86x = 409,756.20 × 121,413.52
  4. Step 4: Simplify right side
    273,299.86x = 49,749,942,583.82
  5. Step 5: Solve for x
    x = 49,749,942,583.82/273,299.86
  6. Step 6: Final answer
    x = 182,034.28

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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.