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Finding the Fourth Proportional to 272,674.42, 409,198.48 and 95,181.46

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Solution

The fourth proportional to 272,674.42, 409,198.48 and 95,181.46 is: 142,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,674.42 : 409,198.48 = 95,181.46 : x
  2. Step 2: Convert to fraction form
    272,674.42/409,198.48 = 95,181.46/x
  3. Step 3: Cross multiply
    272,674.42x = 409,198.48 × 95,181.46
  4. Step 4: Simplify right side
    272,674.42x = 38,948,107,495.23
  5. Step 5: Solve for x
    x = 38,948,107,495.23/272,674.42
  6. Step 6: Final answer
    x = 142,837.41

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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.