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Finding the Fourth Proportional to 200,777.85, 300,846.87 and 106,004.21

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Solution

The fourth proportional to 200,777.85, 300,846.87 and 106,004.21 is: 158,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,777.85 : 300,846.87 = 106,004.21 : x
  2. Step 2: Convert to fraction form
    200,777.85/300,846.87 = 106,004.21/x
  3. Step 3: Cross multiply
    200,777.85x = 300,846.87 × 106,004.21
  4. Step 4: Simplify right side
    200,777.85x = 31,891,033,281.09
  5. Step 5: Solve for x
    x = 31,891,033,281.09/200,777.85
  6. Step 6: Final answer
    x = 158,837.41

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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.