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Finding the Fourth Proportional to 214,201.50, 321,318.42 and 72,047.19

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Solution

The fourth proportional to 214,201.50, 321,318.42 and 72,047.19 is: 108,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,201.50 : 321,318.42 = 72,047.19 : x
  2. Step 2: Convert to fraction form
    214,201.50/321,318.42 = 72,047.19/x
  3. Step 3: Cross multiply
    214,201.50x = 321,318.42 × 72,047.19
  4. Step 4: Simplify right side
    214,201.50x = 23,150,089,256.24
  5. Step 5: Solve for x
    x = 23,150,089,256.24/214,201.50
  6. Step 6: Final answer
    x = 108,076.22

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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.