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Finding the Fourth Proportional to 199,251.53, 298,818.97 and 164,104.01

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Solution

The fourth proportional to 199,251.53, 298,818.97 and 164,104.01 is: 246,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,251.53 : 298,818.97 = 164,104.01 : x
  2. Step 2: Convert to fraction form
    199,251.53/298,818.97 = 164,104.01/x
  3. Step 3: Cross multiply
    199,251.53x = 298,818.97 × 164,104.01
  4. Step 4: Simplify right side
    199,251.53x = 49,037,391,241.07
  5. Step 5: Solve for x
    x = 49,037,391,241.07/199,251.53
  6. Step 6: Final answer
    x = 246,107.98

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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.