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Finding the Fourth Proportional to 235,114.48, 353,942.83 and 214,189

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Solution

The fourth proportional to 235,114.48, 353,942.83 and 214,189 is: 322,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,114.48 : 353,942.83 = 214,189 : x
  2. Step 2: Convert to fraction form
    235,114.48/353,942.83 = 214,189/x
  3. Step 3: Cross multiply
    235,114.48x = 353,942.83 × 214,189
  4. Step 4: Simplify right side
    235,114.48x = 75,810,660,814.87
  5. Step 5: Solve for x
    x = 75,810,660,814.87/235,114.48
  6. Step 6: Final answer
    x = 322,441.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.