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Finding the Fourth Proportional to 206,960.56, 310,883.04 and 148,174

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Solution

The fourth proportional to 206,960.56, 310,883.04 and 148,174 is: 222,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,960.56 : 310,883.04 = 148,174 : x
  2. Step 2: Convert to fraction form
    206,960.56/310,883.04 = 148,174/x
  3. Step 3: Cross multiply
    206,960.56x = 310,883.04 × 148,174
  4. Step 4: Simplify right side
    206,960.56x = 46,064,783,568.96
  5. Step 5: Solve for x
    x = 46,064,783,568.96/206,960.56
  6. Step 6: Final answer
    x = 222,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.