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Finding the Fourth Proportional to 204,302.20, 305,870.10 and 180,974.20

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Solution

The fourth proportional to 204,302.20, 305,870.10 and 180,974.20 is: 270,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,302.20 : 305,870.10 = 180,974.20 : x
  2. Step 2: Convert to fraction form
    204,302.20/305,870.10 = 180,974.20/x
  3. Step 3: Cross multiply
    204,302.20x = 305,870.10 × 180,974.20
  4. Step 4: Simplify right side
    204,302.20x = 55,354,596,651.42
  5. Step 5: Solve for x
    x = 55,354,596,651.42/204,302.20
  6. Step 6: Final answer
    x = 270,944.69

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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.