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Finding the Fourth Proportional to 199,803.40, 275,167.38 and 195,448.84

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Solution

The fourth proportional to 199,803.40, 275,167.38 and 195,448.84 is: 269,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,803.40 : 275,167.38 = 195,448.84 : x
  2. Step 2: Convert to fraction form
    199,803.40/275,167.38 = 195,448.84/x
  3. Step 3: Cross multiply
    199,803.40x = 275,167.38 × 195,448.84
  4. Step 4: Simplify right side
    199,803.40x = 53,781,145,226.84
  5. Step 5: Solve for x
    x = 53,781,145,226.84/199,803.40
  6. Step 6: Final answer
    x = 269,170.32

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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.