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Finding the Fourth Proportional to 223,108.42, 334,795.61 and 80,964.80

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Solution

The fourth proportional to 223,108.42, 334,795.61 and 80,964.80 is: 121,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,108.42 : 334,795.61 = 80,964.80 : x
  2. Step 2: Convert to fraction form
    223,108.42/334,795.61 = 80,964.80/x
  3. Step 3: Cross multiply
    223,108.42x = 334,795.61 × 80,964.80
  4. Step 4: Simplify right side
    223,108.42x = 27,106,659,604.53
  5. Step 5: Solve for x
    x = 27,106,659,604.53/223,108.42
  6. Step 6: Final answer
    x = 121,495.46

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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.