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Finding the Fourth Proportional to 192,809.23, 289,205.32 and 52,567.87

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Solution

The fourth proportional to 192,809.23, 289,205.32 and 52,567.87 is: 78,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,809.23 : 289,205.32 = 52,567.87 : x
  2. Step 2: Convert to fraction form
    192,809.23/289,205.32 = 52,567.87/x
  3. Step 3: Cross multiply
    192,809.23x = 289,205.32 × 52,567.87
  4. Step 4: Simplify right side
    192,809.23x = 15,202,907,665.07
  5. Step 5: Solve for x
    x = 15,202,907,665.07/192,809.23
  6. Step 6: Final answer
    x = 78,849.48

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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.