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Finding the Fourth Proportional to 181,196.22, 271,706.41 and 75,986.94

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Solution

The fourth proportional to 181,196.22, 271,706.41 and 75,986.94 is: 113,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,196.22 : 271,706.41 = 75,986.94 : x
  2. Step 2: Convert to fraction form
    181,196.22/271,706.41 = 75,986.94/x
  3. Step 3: Cross multiply
    181,196.22x = 271,706.41 × 75,986.94
  4. Step 4: Simplify right side
    181,196.22x = 20,646,138,674.29
  5. Step 5: Solve for x
    x = 20,646,138,674.29/181,196.22
  6. Step 6: Final answer
    x = 113,943.54

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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.