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Finding the Fourth Proportional to 214,628.54, 321,745.70 and 74,289.02

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Solution

The fourth proportional to 214,628.54, 321,745.70 and 74,289.02 is: 111,365.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,628.54 : 321,745.70 = 74,289.02 : x
  2. Step 2: Convert to fraction form
    214,628.54/321,745.70 = 74,289.02/x
  3. Step 3: Cross multiply
    214,628.54x = 321,745.70 × 74,289.02
  4. Step 4: Simplify right side
    214,628.54x = 23,902,172,742.21
  5. Step 5: Solve for x
    x = 23,902,172,742.21/214,628.54
  6. Step 6: Final answer
    x = 111,365.30

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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.