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Finding the Fourth Proportional to 195,672.82, 270,029.11 and 114,049.38

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Solution

The fourth proportional to 195,672.82, 270,029.11 and 114,049.38 is: 157,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,672.82 : 270,029.11 = 114,049.38 : x
  2. Step 2: Convert to fraction form
    195,672.82/270,029.11 = 114,049.38/x
  3. Step 3: Cross multiply
    195,672.82x = 270,029.11 × 114,049.38
  4. Step 4: Simplify right side
    195,672.82x = 30,796,652,577.45
  5. Step 5: Solve for x
    x = 30,796,652,577.45/195,672.82
  6. Step 6: Final answer
    x = 157,388.50

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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.