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Finding the Fourth Proportional to 192,809.81, 289,273.77 and 86,283.41

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Solution

The fourth proportional to 192,809.81, 289,273.77 and 86,283.41 is: 129,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,809.81 : 289,273.77 = 86,283.41 : x
  2. Step 2: Convert to fraction form
    192,809.81/289,273.77 = 86,283.41/x
  3. Step 3: Cross multiply
    192,809.81x = 289,273.77 × 86,283.41
  4. Step 4: Simplify right side
    192,809.81x = 24,959,525,852.79
  5. Step 5: Solve for x
    x = 24,959,525,852.79/192,809.81
  6. Step 6: Final answer
    x = 129,451.54

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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.