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Finding the Fourth Proportional to 194,496.56, 291,794.04 and 54,255.08

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Solution

The fourth proportional to 194,496.56, 291,794.04 and 54,255.08 is: 81,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,496.56 : 291,794.04 = 54,255.08 : x
  2. Step 2: Convert to fraction form
    194,496.56/291,794.04 = 54,255.08/x
  3. Step 3: Cross multiply
    194,496.56x = 291,794.04 × 54,255.08
  4. Step 4: Simplify right side
    194,496.56x = 15,831,308,983.72
  5. Step 5: Solve for x
    x = 15,831,308,983.72/194,496.56
  6. Step 6: Final answer
    x = 81,396.34

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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.