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Finding the Fourth Proportional to 214,469.16, 321,802.15 and 109,361.94

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Solution

The fourth proportional to 214,469.16, 321,802.15 and 109,361.94 is: 164,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.16 : 321,802.15 = 109,361.94 : x
  2. Step 2: Convert to fraction form
    214,469.16/321,802.15 = 109,361.94/x
  3. Step 3: Cross multiply
    214,469.16x = 321,802.15 × 109,361.94
  4. Step 4: Simplify right side
    214,469.16x = 35,192,907,420.17
  5. Step 5: Solve for x
    x = 35,192,907,420.17/214,469.16
  6. Step 6: Final answer
    x = 164,093.09

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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.