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Finding the Fourth Proportional to 214,912.56, 296,565.72 and 119,413.68

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Solution

The fourth proportional to 214,912.56, 296,565.72 and 119,413.68 is: 164,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,912.56 : 296,565.72 = 119,413.68 : x
  2. Step 2: Convert to fraction form
    214,912.56/296,565.72 = 119,413.68/x
  3. Step 3: Cross multiply
    214,912.56x = 296,565.72 × 119,413.68
  4. Step 4: Simplify right side
    214,912.56x = 35,414,003,987.05
  5. Step 5: Solve for x
    x = 35,414,003,987.05/214,912.56
  6. Step 6: Final answer
    x = 164,783.31

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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.