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Finding the Fourth Proportional to 110,596.35, 165,726.46 and 81,033.78

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Solution

The fourth proportional to 110,596.35, 165,726.46 and 81,033.78 is: 121,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,596.35 : 165,726.46 = 81,033.78 : x
  2. Step 2: Convert to fraction form
    110,596.35/165,726.46 = 81,033.78/x
  3. Step 3: Cross multiply
    110,596.35x = 165,726.46 × 81,033.78
  4. Step 4: Simplify right side
    110,596.35x = 13,429,441,766.77
  5. Step 5: Solve for x
    x = 13,429,441,766.77/110,596.35
  6. Step 6: Final answer
    x = 121,427.53

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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.