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Finding the Fourth Proportional to 195,761.44, 270,146.16 and 114,084.44

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Solution

The fourth proportional to 195,761.44, 270,146.16 and 114,084.44 is: 157,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,761.44 : 270,146.16 = 114,084.44 : x
  2. Step 2: Convert to fraction form
    195,761.44/270,146.16 = 114,084.44/x
  3. Step 3: Cross multiply
    195,761.44x = 270,146.16 × 114,084.44
  4. Step 4: Simplify right side
    195,761.44x = 30,819,473,381.75
  5. Step 5: Solve for x
    x = 30,819,473,381.75/195,761.44
  6. Step 6: Final answer
    x = 157,433.83

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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.