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Finding the Fourth Proportional to 194,605.89, 268,556 and 105,181.89

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Solution

The fourth proportional to 194,605.89, 268,556 and 105,181.89 is: 145,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,605.89 : 268,556 = 105,181.89 : x
  2. Step 2: Convert to fraction form
    194,605.89/268,556 = 105,181.89/x
  3. Step 3: Cross multiply
    194,605.89x = 268,556 × 105,181.89
  4. Step 4: Simplify right side
    194,605.89x = 28,247,227,650.84
  5. Step 5: Solve for x
    x = 28,247,227,650.84/194,605.89
  6. Step 6: Final answer
    x = 145,150.94

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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.