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Finding the Fourth Proportional to 194,961.78, 269,047.30 and 105,537.78

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Solution

The fourth proportional to 194,961.78, 269,047.30 and 105,537.78 is: 145,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,961.78 : 269,047.30 = 105,537.78 : x
  2. Step 2: Convert to fraction form
    194,961.78/269,047.30 = 105,537.78/x
  3. Step 3: Cross multiply
    194,961.78x = 269,047.30 × 105,537.78
  4. Step 4: Simplify right side
    194,961.78x = 28,394,654,756.99
  5. Step 5: Solve for x
    x = 28,394,654,756.99/194,961.78
  6. Step 6: Final answer
    x = 145,642.16

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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.