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Finding the Fourth Proportional to 214,765.38, 321,905 and 109,361.70

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Solution

The fourth proportional to 214,765.38, 321,905 and 109,361.70 is: 163,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,765.38 : 321,905 = 109,361.70 : x
  2. Step 2: Convert to fraction form
    214,765.38/321,905 = 109,361.70/x
  3. Step 3: Cross multiply
    214,765.38x = 321,905 × 109,361.70
  4. Step 4: Simplify right side
    214,765.38x = 35,204,078,038.50
  5. Step 5: Solve for x
    x = 35,204,078,038.50/214,765.38
  6. Step 6: Final answer
    x = 163,918.78

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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.