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Finding the Fourth Proportional to 200,523.54, 300,910.12 and 181,837.44

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Solution

The fourth proportional to 200,523.54, 300,910.12 and 181,837.44 is: 272,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,523.54 : 300,910.12 = 181,837.44 : x
  2. Step 2: Convert to fraction form
    200,523.54/300,910.12 = 181,837.44/x
  3. Step 3: Cross multiply
    200,523.54x = 300,910.12 × 181,837.44
  4. Step 4: Simplify right side
    200,523.54x = 54,716,725,890.89
  5. Step 5: Solve for x
    x = 54,716,725,890.89/200,523.54
  6. Step 6: Final answer
    x = 272,869.34

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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.