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Finding the Fourth Proportional to 133,413.32, 184,120.36 and 76,054

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Solution

The fourth proportional to 133,413.32, 184,120.36 and 76,054 is: 104,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,413.32 : 184,120.36 = 76,054 : x
  2. Step 2: Convert to fraction form
    133,413.32/184,120.36 = 76,054/x
  3. Step 3: Cross multiply
    133,413.32x = 184,120.36 × 76,054
  4. Step 4: Simplify right side
    133,413.32x = 14,003,089,859.44
  5. Step 5: Solve for x
    x = 14,003,089,859.44/133,413.32
  6. Step 6: Final answer
    x = 104,960.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.