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Finding the Fourth Proportional to 192,579.84, 288,884.34 and 52,336.44

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Solution

The fourth proportional to 192,579.84, 288,884.34 and 52,336.44 is: 78,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,579.84 : 288,884.34 = 52,336.44 : x
  2. Step 2: Convert to fraction form
    192,579.84/288,884.34 = 52,336.44/x
  3. Step 3: Cross multiply
    192,579.84x = 288,884.34 × 52,336.44
  4. Step 4: Simplify right side
    192,579.84x = 15,119,177,927.35
  5. Step 5: Solve for x
    x = 15,119,177,927.35/192,579.84
  6. Step 6: Final answer
    x = 78,508.62

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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.