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Finding the Fourth Proportional to 195,874.96, 270,307.56 and 106,450.96

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Solution

The fourth proportional to 195,874.96, 270,307.56 and 106,450.96 is: 146,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,874.96 : 270,307.56 = 106,450.96 : x
  2. Step 2: Convert to fraction form
    195,874.96/270,307.56 = 106,450.96/x
  3. Step 3: Cross multiply
    195,874.96x = 270,307.56 × 106,450.96
  4. Step 4: Simplify right side
    195,874.96x = 28,774,499,257.26
  5. Step 5: Solve for x
    x = 28,774,499,257.26/195,874.96
  6. Step 6: Final answer
    x = 146,902.39

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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.