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Finding the Fourth Proportional to 192,866.33, 289,345.68 and 80,484.03

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Solution

The fourth proportional to 192,866.33, 289,345.68 and 80,484.03 is: 120,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,866.33 : 289,345.68 = 80,484.03 : x
  2. Step 2: Convert to fraction form
    192,866.33/289,345.68 = 80,484.03/x
  3. Step 3: Cross multiply
    192,866.33x = 289,345.68 × 80,484.03
  4. Step 4: Simplify right side
    192,866.33x = 23,287,706,389.49
  5. Step 5: Solve for x
    x = 23,287,706,389.49/192,866.33
  6. Step 6: Final answer
    x = 120,745.32

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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.