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Finding the Fourth Proportional to 106,873.82, 160,205.02 and 50,615.08

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Solution

The fourth proportional to 106,873.82, 160,205.02 and 50,615.08 is: 75,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,873.82 : 160,205.02 = 50,615.08 : x
  2. Step 2: Convert to fraction form
    106,873.82/160,205.02 = 50,615.08/x
  3. Step 3: Cross multiply
    106,873.82x = 160,205.02 × 50,615.08
  4. Step 4: Simplify right side
    106,873.82x = 8,108,789,903.70
  5. Step 5: Solve for x
    x = 8,108,789,903.70/106,873.82
  6. Step 6: Final answer
    x = 75,872.56

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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.