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Finding the Fourth Proportional to 192,722.84, 288,918.01 and 92,745.50

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Solution

The fourth proportional to 192,722.84, 288,918.01 and 92,745.50 is: 139,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,722.84 : 288,918.01 = 92,745.50 : x
  2. Step 2: Convert to fraction form
    192,722.84/288,918.01 = 92,745.50/x
  3. Step 3: Cross multiply
    192,722.84x = 288,918.01 × 92,745.50
  4. Step 4: Simplify right side
    192,722.84x = 26,795,843,620.00
  5. Step 5: Solve for x
    x = 26,795,843,620.00/192,722.84
  6. Step 6: Final answer
    x = 139,038.24

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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.