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Finding the Fourth Proportional to 223,109.42, 334,797.11 and 80,965.80

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Solution

The fourth proportional to 223,109.42, 334,797.11 and 80,965.80 is: 121,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,109.42 : 334,797.11 = 80,965.80 : x
  2. Step 2: Convert to fraction form
    223,109.42/334,797.11 = 80,965.80/x
  3. Step 3: Cross multiply
    223,109.42x = 334,797.11 × 80,965.80
  4. Step 4: Simplify right side
    223,109.42x = 27,107,115,848.84
  5. Step 5: Solve for x
    x = 27,107,115,848.84/223,109.42
  6. Step 6: Final answer
    x = 121,496.96

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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.