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Finding the Fourth Proportional to 106,751.96, 160,124.30 and 50,618.96

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Solution

The fourth proportional to 106,751.96, 160,124.30 and 50,618.96 is: 75,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,751.96 : 160,124.30 = 50,618.96 : x
  2. Step 2: Convert to fraction form
    106,751.96/160,124.30 = 50,618.96/x
  3. Step 3: Cross multiply
    106,751.96x = 160,124.30 × 50,618.96
  4. Step 4: Simplify right side
    106,751.96x = 8,105,325,536.73
  5. Step 5: Solve for x
    x = 8,105,325,536.73/106,751.96
  6. Step 6: Final answer
    x = 75,926.71

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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.