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Finding the Fourth Proportional to 159,768.72, 239,733.54 and 106,496.64

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Solution

The fourth proportional to 159,768.72, 239,733.54 and 106,496.64 is: 159,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,768.72 : 239,733.54 = 106,496.64 : x
  2. Step 2: Convert to fraction form
    159,768.72/239,733.54 = 106,496.64/x
  3. Step 3: Cross multiply
    159,768.72x = 239,733.54 × 106,496.64
  4. Step 4: Simplify right side
    159,768.72x = 25,530,816,505.31
  5. Step 5: Solve for x
    x = 25,530,816,505.31/159,768.72
  6. Step 6: Final answer
    x = 159,798.59

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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.