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Finding the Fourth Proportional to 199,067.40, 298,601.10 and 146,579.40

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Solution

The fourth proportional to 199,067.40, 298,601.10 and 146,579.40 is: 219,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,067.40 : 298,601.10 = 146,579.40 : x
  2. Step 2: Convert to fraction form
    199,067.40/298,601.10 = 146,579.40/x
  3. Step 3: Cross multiply
    199,067.40x = 298,601.10 × 146,579.40
  4. Step 4: Simplify right side
    199,067.40x = 43,768,770,077.34
  5. Step 5: Solve for x
    x = 43,768,770,077.34/199,067.40
  6. Step 6: Final answer
    x = 219,869.10

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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.