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Finding the Fourth Proportional to 199,098.81, 298,644.57 and 49,339.44

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Solution

The fourth proportional to 199,098.81, 298,644.57 and 49,339.44 is: 74,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,098.81 : 298,644.57 = 49,339.44 : x
  2. Step 2: Convert to fraction form
    199,098.81/298,644.57 = 49,339.44/x
  3. Step 3: Cross multiply
    199,098.81x = 298,644.57 × 49,339.44
  4. Step 4: Simplify right side
    199,098.81x = 14,734,955,842.84
  5. Step 5: Solve for x
    x = 14,734,955,842.84/199,098.81
  6. Step 6: Final answer
    x = 74,008.26

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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.