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Finding the Fourth Proportional to 192,833.97, 289,140.20 and 102,765.80

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Solution

The fourth proportional to 192,833.97, 289,140.20 and 102,765.80 is: 154,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,833.97 : 289,140.20 = 102,765.80 : x
  2. Step 2: Convert to fraction form
    192,833.97/289,140.20 = 102,765.80/x
  3. Step 3: Cross multiply
    192,833.97x = 289,140.20 × 102,765.80
  4. Step 4: Simplify right side
    192,833.97x = 29,713,722,776.37
  5. Step 5: Solve for x
    x = 29,713,722,776.37/192,833.97
  6. Step 6: Final answer
    x = 154,089.67

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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.