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Finding the Fourth Proportional to 199,524.65, 299,118.42 and 92,853.56

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Solution

The fourth proportional to 199,524.65, 299,118.42 and 92,853.56 is: 139,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,524.65 : 299,118.42 = 92,853.56 : x
  2. Step 2: Convert to fraction form
    199,524.65/299,118.42 = 92,853.56/x
  3. Step 3: Cross multiply
    199,524.65x = 299,118.42 × 92,853.56
  4. Step 4: Simplify right side
    199,524.65x = 27,774,210,906.37
  5. Step 5: Solve for x
    x = 27,774,210,906.37/199,524.65
  6. Step 6: Final answer
    x = 139,201.91

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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.