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Finding the Fourth Proportional to 381,777.63, 572,413.69 and 182,128.83

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Solution

The fourth proportional to 381,777.63, 572,413.69 and 182,128.83 is: 273,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,777.63 : 572,413.69 = 182,128.83 : x
  2. Step 2: Convert to fraction form
    381,777.63/572,413.69 = 182,128.83/x
  3. Step 3: Cross multiply
    381,777.63x = 572,413.69 × 182,128.83
  4. Step 4: Simplify right side
    381,777.63x = 104,253,035,635.68
  5. Step 5: Solve for x
    x = 104,253,035,635.68/381,777.63
  6. Step 6: Final answer
    x = 273,072.67

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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.