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Finding the Fourth Proportional to 223,194.54, 334,754.82 and 73,436.70

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Solution

The fourth proportional to 223,194.54, 334,754.82 and 73,436.70 is: 110,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,194.54 : 334,754.82 = 73,436.70 : x
  2. Step 2: Convert to fraction form
    223,194.54/334,754.82 = 73,436.70/x
  3. Step 3: Cross multiply
    223,194.54x = 334,754.82 × 73,436.70
  4. Step 4: Simplify right side
    223,194.54x = 24,583,289,289.89
  5. Step 5: Solve for x
    x = 24,583,289,289.89/223,194.54
  6. Step 6: Final answer
    x = 110,142.88

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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.