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Finding the Fourth Proportional to 200,022.30, 300,033.45 and 196,911.90

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Solution

The fourth proportional to 200,022.30, 300,033.45 and 196,911.90 is: 295,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,022.30 : 300,033.45 = 196,911.90 : x
  2. Step 2: Convert to fraction form
    200,022.30/300,033.45 = 196,911.90/x
  3. Step 3: Cross multiply
    200,022.30x = 300,033.45 × 196,911.90
  4. Step 4: Simplify right side
    200,022.30x = 59,080,156,703.06
  5. Step 5: Solve for x
    x = 59,080,156,703.06/200,022.30
  6. Step 6: Final answer
    x = 295,367.85

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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.