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Finding the Fourth Proportional to 199,756.75, 275,672.43 and 114,873.82

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Solution

The fourth proportional to 199,756.75, 275,672.43 and 114,873.82 is: 158,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,756.75 : 275,672.43 = 114,873.82 : x
  2. Step 2: Convert to fraction form
    199,756.75/275,672.43 = 114,873.82/x
  3. Step 3: Cross multiply
    199,756.75x = 275,672.43 × 114,873.82
  4. Step 4: Simplify right side
    199,756.75x = 31,667,545,102.78
  5. Step 5: Solve for x
    x = 31,667,545,102.78/199,756.75
  6. Step 6: Final answer
    x = 158,530.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.