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Finding the Fourth Proportional to 223,245.12, 334,913.80 and 73,494.42

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Solution

The fourth proportional to 223,245.12, 334,913.80 and 73,494.42 is: 110,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,245.12 : 334,913.80 = 73,494.42 : x
  2. Step 2: Convert to fraction form
    223,245.12/334,913.80 = 73,494.42/x
  3. Step 3: Cross multiply
    223,245.12x = 334,913.80 × 73,494.42
  4. Step 4: Simplify right side
    223,245.12x = 24,614,295,481.00
  5. Step 5: Solve for x
    x = 24,614,295,481.00/223,245.12
  6. Step 6: Final answer
    x = 110,256.81

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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.