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Finding the Fourth Proportional to 194,046.11, 290,722.87 and 105,242.97

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Solution

The fourth proportional to 194,046.11, 290,722.87 and 105,242.97 is: 157,676.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,046.11 : 290,722.87 = 105,242.97 : x
  2. Step 2: Convert to fraction form
    194,046.11/290,722.87 = 105,242.97/x
  3. Step 3: Cross multiply
    194,046.11x = 290,722.87 × 105,242.97
  4. Step 4: Simplify right side
    194,046.11x = 30,596,538,285.72
  5. Step 5: Solve for x
    x = 30,596,538,285.72/194,046.11
  6. Step 6: Final answer
    x = 157,676.64

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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.