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Finding the Fourth Proportional to 200,492.50, 300,505.47 and 82,020.28

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Solution

The fourth proportional to 200,492.50, 300,505.47 and 82,020.28 is: 122,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,492.50 : 300,505.47 = 82,020.28 : x
  2. Step 2: Convert to fraction form
    200,492.50/300,505.47 = 82,020.28/x
  3. Step 3: Cross multiply
    200,492.50x = 300,505.47 × 82,020.28
  4. Step 4: Simplify right side
    200,492.50x = 24,647,542,790.93
  5. Step 5: Solve for x
    x = 24,647,542,790.93/200,492.50
  6. Step 6: Final answer
    x = 122,934.99

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1.5x scale

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.