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Finding the Fourth Proportional to 214,903.26, 322,336.31 and 72,745.49

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Solution

The fourth proportional to 214,903.26, 322,336.31 and 72,745.49 is: 109,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,903.26 : 322,336.31 = 72,745.49 : x
  2. Step 2: Convert to fraction form
    214,903.26/322,336.31 = 72,745.49/x
  3. Step 3: Cross multiply
    214,903.26x = 322,336.31 × 72,745.49
  4. Step 4: Simplify right side
    214,903.26x = 23,448,510,840.33
  5. Step 5: Solve for x
    x = 23,448,510,840.33/214,903.26
  6. Step 6: Final answer
    x = 109,111.94

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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.