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Finding the Fourth Proportional to 184,295.96, 276,413.14 and 51,189.67

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Solution

The fourth proportional to 184,295.96, 276,413.14 and 51,189.67 is: 76,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,295.96 : 276,413.14 = 51,189.67 : x
  2. Step 2: Convert to fraction form
    184,295.96/276,413.14 = 51,189.67/x
  3. Step 3: Cross multiply
    184,295.96x = 276,413.14 × 51,189.67
  4. Step 4: Simplify right side
    184,295.96x = 14,149,497,829.77
  5. Step 5: Solve for x
    x = 14,149,497,829.77/184,295.96
  6. Step 6: Final answer
    x = 76,775.95

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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.