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Finding the Fourth Proportional to 194,853.20, 292,061.10 and 82,514.30

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Solution

The fourth proportional to 194,853.20, 292,061.10 and 82,514.30 is: 123,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853.20 : 292,061.10 = 82,514.30 : x
  2. Step 2: Convert to fraction form
    194,853.20/292,061.10 = 82,514.30/x
  3. Step 3: Cross multiply
    194,853.20x = 292,061.10 × 82,514.30
  4. Step 4: Simplify right side
    194,853.20x = 24,099,217,223.73
  5. Step 5: Solve for x
    x = 24,099,217,223.73/194,853.20
  6. Step 6: Final answer
    x = 123,678.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.