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Finding the Fourth Proportional to 202,093.71, 303,189.26 and 75,735.06

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Solution

The fourth proportional to 202,093.71, 303,189.26 and 75,735.06 is: 113,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,093.71 : 303,189.26 = 75,735.06 : x
  2. Step 2: Convert to fraction form
    202,093.71/303,189.26 = 75,735.06/x
  3. Step 3: Cross multiply
    202,093.71x = 303,189.26 × 75,735.06
  4. Step 4: Simplify right side
    202,093.71x = 22,962,056,797.46
  5. Step 5: Solve for x
    x = 22,962,056,797.46/202,093.71
  6. Step 6: Final answer
    x = 113,620.84

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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.