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Finding the Fourth Proportional to 202,722.64, 303,928.98 and 122,743.24

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Solution

The fourth proportional to 202,722.64, 303,928.98 and 122,743.24 is: 184,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,722.64 : 303,928.98 = 122,743.24 : x
  2. Step 2: Convert to fraction form
    202,722.64/303,928.98 = 122,743.24/x
  3. Step 3: Cross multiply
    202,722.64x = 303,928.98 × 122,743.24
  4. Step 4: Simplify right side
    202,722.64x = 37,305,227,735.10
  5. Step 5: Solve for x
    x = 37,305,227,735.10/202,722.64
  6. Step 6: Final answer
    x = 184,021.02

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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.