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Finding the Fourth Proportional to 202,974.30, 304,480.65 and 55,230.30

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Solution

The fourth proportional to 202,974.30, 304,480.65 and 55,230.30 is: 82,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,974.30 : 304,480.65 = 55,230.30 : x
  2. Step 2: Convert to fraction form
    202,974.30/304,480.65 = 55,230.30/x
  3. Step 3: Cross multiply
    202,974.30x = 304,480.65 × 55,230.30
  4. Step 4: Simplify right side
    202,974.30x = 16,816,557,643.70
  5. Step 5: Solve for x
    x = 16,816,557,643.70/202,974.30
  6. Step 6: Final answer
    x = 82,850.67

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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.