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Finding the Fourth Proportional to 199,515.92, 275,323.40 and 108,869.63

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Solution

The fourth proportional to 199,515.92, 275,323.40 and 108,869.63 is: 150,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,515.92 : 275,323.40 = 108,869.63 : x
  2. Step 2: Convert to fraction form
    199,515.92/275,323.40 = 108,869.63/x
  3. Step 3: Cross multiply
    199,515.92x = 275,323.40 × 108,869.63
  4. Step 4: Simplify right side
    199,515.92x = 29,974,354,767.38
  5. Step 5: Solve for x
    x = 29,974,354,767.38/199,515.92
  6. Step 6: Final answer
    x = 150,235.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.