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Finding the Fourth Proportional to 214,104.98, 295,443.38 and 118,593.84

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Solution

The fourth proportional to 214,104.98, 295,443.38 and 118,593.84 is: 163,647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,104.98 : 295,443.38 = 118,593.84 : x
  2. Step 2: Convert to fraction form
    214,104.98/295,443.38 = 118,593.84/x
  3. Step 3: Cross multiply
    214,104.98x = 295,443.38 × 118,593.84
  4. Step 4: Simplify right side
    214,104.98x = 35,037,764,936.78
  5. Step 5: Solve for x
    x = 35,037,764,936.78/214,104.98
  6. Step 6: Final answer
    x = 163,647.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.