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Finding the Fourth Proportional to 128,039.80, 192,053.30 and 65,716.60

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Solution

The fourth proportional to 128,039.80, 192,053.30 and 65,716.60 is: 98,571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.80 : 192,053.30 = 65,716.60 : x
  2. Step 2: Convert to fraction form
    128,039.80/192,053.30 = 65,716.60/x
  3. Step 3: Cross multiply
    128,039.80x = 192,053.30 × 65,716.60
  4. Step 4: Simplify right side
    128,039.80x = 12,621,089,894.78
  5. Step 5: Solve for x
    x = 12,621,089,894.78/128,039.80
  6. Step 6: Final answer
    x = 98,571.62

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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.