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Finding the Fourth Proportional to 192,902.63, 266,202.74 and 106,861.34

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Solution

The fourth proportional to 192,902.63, 266,202.74 and 106,861.34 is: 147,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,902.63 : 266,202.74 = 106,861.34 : x
  2. Step 2: Convert to fraction form
    192,902.63/266,202.74 = 106,861.34/x
  3. Step 3: Cross multiply
    192,902.63x = 266,202.74 × 106,861.34
  4. Step 4: Simplify right side
    192,902.63x = 28,446,781,508.07
  5. Step 5: Solve for x
    x = 28,446,781,508.07/192,902.63
  6. Step 6: Final answer
    x = 147,467.05

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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.