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Finding the Fourth Proportional to 194,604.89, 268,554.62 and 105,180.89

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Solution

The fourth proportional to 194,604.89, 268,554.62 and 105,180.89 is: 145,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,604.89 : 268,554.62 = 105,180.89 : x
  2. Step 2: Convert to fraction form
    194,604.89/268,554.62 = 105,180.89/x
  3. Step 3: Cross multiply
    194,604.89x = 268,554.62 × 105,180.89
  4. Step 4: Simplify right side
    194,604.89x = 28,246,813,945.21
  5. Step 5: Solve for x
    x = 28,246,813,945.21/194,604.89
  6. Step 6: Final answer
    x = 145,149.56

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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.