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Finding the Fourth Proportional to 200,243.37, 300,267.84 and 75,594.09

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Solution

The fourth proportional to 200,243.37, 300,267.84 and 75,594.09 is: 113,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,243.37 : 300,267.84 = 75,594.09 : x
  2. Step 2: Convert to fraction form
    200,243.37/300,267.84 = 75,594.09/x
  3. Step 3: Cross multiply
    200,243.37x = 300,267.84 × 75,594.09
  4. Step 4: Simplify right side
    200,243.37x = 22,698,474,121.07
  5. Step 5: Solve for x
    x = 22,698,474,121.07/200,243.37
  6. Step 6: Final answer
    x = 113,354.44

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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.