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Finding the Fourth Proportional to 199,825.44, 299,856.30 and 73,554.31

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Solution

The fourth proportional to 199,825.44, 299,856.30 and 73,554.31 is: 110,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,825.44 : 299,856.30 = 73,554.31 : x
  2. Step 2: Convert to fraction form
    199,825.44/299,856.30 = 73,554.31/x
  3. Step 3: Cross multiply
    199,825.44x = 299,856.30 × 73,554.31
  4. Step 4: Simplify right side
    199,825.44x = 22,055,723,245.65
  5. Step 5: Solve for x
    x = 22,055,723,245.65/199,825.44
  6. Step 6: Final answer
    x = 110,374.95

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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.