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Finding the Fourth Proportional to 223,336.10, 334,932.12 and 73,540.78

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Solution

The fourth proportional to 223,336.10, 334,932.12 and 73,540.78 is: 110,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,336.10 : 334,932.12 = 73,540.78 : x
  2. Step 2: Convert to fraction form
    223,336.10/334,932.12 = 73,540.78/x
  3. Step 3: Cross multiply
    223,336.10x = 334,932.12 × 73,540.78
  4. Step 4: Simplify right side
    223,336.10x = 24,631,169,351.85
  5. Step 5: Solve for x
    x = 24,631,169,351.85/223,336.10
  6. Step 6: Final answer
    x = 110,287.45

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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.