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Finding the Fourth Proportional to 202,809.05, 303,947.34 and 149,250.23

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Solution

The fourth proportional to 202,809.05, 303,947.34 and 149,250.23 is: 223,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809.05 : 303,947.34 = 149,250.23 : x
  2. Step 2: Convert to fraction form
    202,809.05/303,947.34 = 149,250.23/x
  3. Step 3: Cross multiply
    202,809.05x = 303,947.34 × 149,250.23
  4. Step 4: Simplify right side
    202,809.05x = 45,364,209,463.27
  5. Step 5: Solve for x
    x = 45,364,209,463.27/202,809.05
  6. Step 6: Final answer
    x = 223,679.42

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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.