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Finding the Fourth Proportional to 122,081.60, 182,907.12 and 106,919.58

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Solution

The fourth proportional to 122,081.60, 182,907.12 and 106,919.58 is: 160,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,081.60 : 182,907.12 = 106,919.58 : x
  2. Step 2: Convert to fraction form
    122,081.60/182,907.12 = 106,919.58/x
  3. Step 3: Cross multiply
    122,081.60x = 182,907.12 × 106,919.58
  4. Step 4: Simplify right side
    122,081.60x = 19,556,352,449.41
  5. Step 5: Solve for x
    x = 19,556,352,449.41/122,081.60
  6. Step 6: Final answer
    x = 160,190.83

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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.