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Finding the Fourth Proportional to 106,876.40, 160,314.60 and 27,998.60

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Solution

The fourth proportional to 106,876.40, 160,314.60 and 27,998.60 is: 41,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876.40 : 160,314.60 = 27,998.60 : x
  2. Step 2: Convert to fraction form
    106,876.40/160,314.60 = 27,998.60/x
  3. Step 3: Cross multiply
    106,876.40x = 160,314.60 × 27,998.60
  4. Step 4: Simplify right side
    106,876.40x = 4,488,584,359.56
  5. Step 5: Solve for x
    x = 4,488,584,359.56/106,876.40
  6. Step 6: Final answer
    x = 41,997.90

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1.5x scale

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.