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Finding the Fourth Proportional to 182,996.54, 274,486.74 and 49,876.80

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Solution

The fourth proportional to 182,996.54, 274,486.74 and 49,876.80 is: 74,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,996.54 : 274,486.74 = 49,876.80 : x
  2. Step 2: Convert to fraction form
    182,996.54/274,486.74 = 49,876.80/x
  3. Step 3: Cross multiply
    182,996.54x = 274,486.74 × 49,876.80
  4. Step 4: Simplify right side
    182,996.54x = 13,690,519,890.06
  5. Step 5: Solve for x
    x = 13,690,519,890.06/182,996.54
  6. Step 6: Final answer
    x = 74,813.00

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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.