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Finding the Fourth Proportional to 111,653.68, 167,254.26 and 51,596.78

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Solution

The fourth proportional to 111,653.68, 167,254.26 and 51,596.78 is: 77,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,653.68 : 167,254.26 = 51,596.78 : x
  2. Step 2: Convert to fraction form
    111,653.68/167,254.26 = 51,596.78/x
  3. Step 3: Cross multiply
    111,653.68x = 167,254.26 × 51,596.78
  4. Step 4: Simplify right side
    111,653.68x = 8,629,781,257.28
  5. Step 5: Solve for x
    x = 8,629,781,257.28/111,653.68
  6. Step 6: Final answer
    x = 77,290.61

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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.