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Finding the Fourth Proportional to 199,524.53, 299,286.83 and 133,094.41

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Solution

The fourth proportional to 199,524.53, 299,286.83 and 133,094.41 is: 199,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,524.53 : 299,286.83 = 133,094.41 : x
  2. Step 2: Convert to fraction form
    199,524.53/299,286.83 = 133,094.41/x
  3. Step 3: Cross multiply
    199,524.53x = 299,286.83 × 133,094.41
  4. Step 4: Simplify right side
    199,524.53x = 39,833,403,644.14
  5. Step 5: Solve for x
    x = 39,833,403,644.14/199,524.53
  6. Step 6: Final answer
    x = 199,641.63

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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.