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Finding the Fourth Proportional to 194,469.75, 291,753.81 and 54,228.42

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Solution

The fourth proportional to 194,469.75, 291,753.81 and 54,228.42 is: 81,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,469.75 : 291,753.81 = 54,228.42 : x
  2. Step 2: Convert to fraction form
    194,469.75/291,753.81 = 54,228.42/x
  3. Step 3: Cross multiply
    194,469.75x = 291,753.81 × 54,228.42
  4. Step 4: Simplify right side
    194,469.75x = 15,821,348,145.28
  5. Step 5: Solve for x
    x = 15,821,348,145.28/194,469.75
  6. Step 6: Final answer
    x = 81,356.35

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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.