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Finding the Fourth Proportional to 149,381.82, 223,873.17 and 54,522.82

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Solution

The fourth proportional to 149,381.82, 223,873.17 and 54,522.82 is: 81,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,381.82 : 223,873.17 = 54,522.82 : x
  2. Step 2: Convert to fraction form
    149,381.82/223,873.17 = 54,522.82/x
  3. Step 3: Cross multiply
    149,381.82x = 223,873.17 × 54,522.82
  4. Step 4: Simplify right side
    149,381.82x = 12,206,196,626.12
  5. Step 5: Solve for x
    x = 12,206,196,626.12/149,381.82
  6. Step 6: Final answer
    x = 81,711.39

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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.