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Finding the Fourth Proportional to 190,996.80, 286,786.80 and 132,093.60

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Solution

The fourth proportional to 190,996.80, 286,786.80 and 132,093.60 is: 198,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,996.80 : 286,786.80 = 132,093.60 : x
  2. Step 2: Convert to fraction form
    190,996.80/286,786.80 = 132,093.60/x
  3. Step 3: Cross multiply
    190,996.80x = 286,786.80 × 132,093.60
  4. Step 4: Simplify right side
    190,996.80x = 37,882,700,844.48
  5. Step 5: Solve for x
    x = 37,882,700,844.48/190,996.80
  6. Step 6: Final answer
    x = 198,342.07

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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.