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Finding the Fourth Proportional to 183,219.48, 274,979.94 and 78,157.08

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Solution

The fourth proportional to 183,219.48, 274,979.94 and 78,157.08 is: 117,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,219.48 : 274,979.94 = 78,157.08 : x
  2. Step 2: Convert to fraction form
    183,219.48/274,979.94 = 78,157.08/x
  3. Step 3: Cross multiply
    183,219.48x = 274,979.94 × 78,157.08
  4. Step 4: Simplify right side
    183,219.48x = 21,491,629,168.98
  5. Step 5: Solve for x
    x = 21,491,629,168.98/183,219.48
  6. Step 6: Final answer
    x = 117,299.91

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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.