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Finding the Fourth Proportional to 179,198.72, 268,838.16 and 54,549.44

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Solution

The fourth proportional to 179,198.72, 268,838.16 and 54,549.44 is: 81,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,198.72 : 268,838.16 = 54,549.44 : x
  2. Step 2: Convert to fraction form
    179,198.72/268,838.16 = 54,549.44/x
  3. Step 3: Cross multiply
    179,198.72x = 268,838.16 × 54,549.44
  4. Step 4: Simplify right side
    179,198.72x = 14,664,971,078.63
  5. Step 5: Solve for x
    x = 14,664,971,078.63/179,198.72
  6. Step 6: Final answer
    x = 81,836.36

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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.