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Finding the Fourth Proportional to 194,296.70, 291,484.34 and 81,977.19

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Solution

The fourth proportional to 194,296.70, 291,484.34 and 81,977.19 is: 122,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,296.70 : 291,484.34 = 81,977.19 : x
  2. Step 2: Convert to fraction form
    194,296.70/291,484.34 = 81,977.19/x
  3. Step 3: Cross multiply
    194,296.70x = 291,484.34 × 81,977.19
  4. Step 4: Simplify right side
    194,296.70x = 23,895,067,122.20
  5. Step 5: Solve for x
    x = 23,895,067,122.20/194,296.70
  6. Step 6: Final answer
    x = 122,982.36

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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.