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Finding the Fourth Proportional to 160,469.76, 240,786.60 and 107,198.16

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Solution

The fourth proportional to 160,469.76, 240,786.60 and 107,198.16 is: 160,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,469.76 : 240,786.60 = 107,198.16 : x
  2. Step 2: Convert to fraction form
    160,469.76/240,786.60 = 107,198.16/x
  3. Step 3: Cross multiply
    160,469.76x = 240,786.60 × 107,198.16
  4. Step 4: Simplify right side
    160,469.76x = 25,811,880,472.66
  5. Step 5: Solve for x
    x = 25,811,880,472.66/160,469.76
  6. Step 6: Final answer
    x = 160,851.99

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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.