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Finding the Fourth Proportional to 128,811, 192,958.16 and 65,628.57

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Solution

The fourth proportional to 128,811, 192,958.16 and 65,628.57 is: 98,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,811 : 192,958.16 = 65,628.57 : x
  2. Step 2: Convert to fraction form
    128,811/192,958.16 = 65,628.57/x
  3. Step 3: Cross multiply
    128,811x = 192,958.16 × 65,628.57
  4. Step 4: Simplify right side
    128,811x = 12,663,567,782.49
  5. Step 5: Solve for x
    x = 12,663,567,782.49/128,811
  6. Step 6: Final answer
    x = 98,311.23

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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.