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Finding the Fourth Proportional to 159,760, 239,504.64 and 107,008

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Solution

The fourth proportional to 159,760, 239,504.64 and 107,008 is: 160,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,760 : 239,504.64 = 107,008 : x
  2. Step 2: Convert to fraction form
    159,760/239,504.64 = 107,008/x
  3. Step 3: Cross multiply
    159,760x = 239,504.64 × 107,008
  4. Step 4: Simplify right side
    159,760x = 25,628,912,517.12
  5. Step 5: Solve for x
    x = 25,628,912,517.12/159,760
  6. Step 6: Final answer
    x = 160,421.34

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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.