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Finding the Fourth Proportional to 194,234.51, 290,964.24 and 154,321.08

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Solution

The fourth proportional to 194,234.51, 290,964.24 and 154,321.08 is: 231,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,234.51 : 290,964.24 = 154,321.08 : x
  2. Step 2: Convert to fraction form
    194,234.51/290,964.24 = 154,321.08/x
  3. Step 3: Cross multiply
    194,234.51x = 290,964.24 × 154,321.08
  4. Step 4: Simplify right side
    194,234.51x = 44,901,915,758.18
  5. Step 5: Solve for x
    x = 44,901,915,758.18/194,234.51
  6. Step 6: Final answer
    x = 231,173.73

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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.