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Finding the Fourth Proportional to 194,554.80, 291,601.80 and 82,234.80

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Solution

The fourth proportional to 194,554.80, 291,601.80 and 82,234.80 is: 123,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,554.80 : 291,601.80 = 82,234.80 : x
  2. Step 2: Convert to fraction form
    194,554.80/291,601.80 = 82,234.80/x
  3. Step 3: Cross multiply
    194,554.80x = 291,601.80 × 82,234.80
  4. Step 4: Simplify right side
    194,554.80x = 23,979,815,702.64
  5. Step 5: Solve for x
    x = 23,979,815,702.64/194,554.80
  6. Step 6: Final answer
    x = 123,254.81

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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.