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Finding the Fourth Proportional to 194,429.70, 291,644.55 and 82,029.06

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Solution

The fourth proportional to 194,429.70, 291,644.55 and 82,029.06 is: 123,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,429.70 : 291,644.55 = 82,029.06 : x
  2. Step 2: Convert to fraction form
    194,429.70/291,644.55 = 82,029.06/x
  3. Step 3: Cross multiply
    194,429.70x = 291,644.55 × 82,029.06
  4. Step 4: Simplify right side
    194,429.70x = 23,923,328,290.62
  5. Step 5: Solve for x
    x = 23,923,328,290.62/194,429.70
  6. Step 6: Final answer
    x = 123,043.59

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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.