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Finding the Fourth Proportional to 106,906.40, 160,316.40 and 36,749.60

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Solution

The fourth proportional to 106,906.40, 160,316.40 and 36,749.60 is: 55,109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.40 : 160,316.40 = 36,749.60 : x
  2. Step 2: Convert to fraction form
    106,906.40/160,316.40 = 36,749.60/x
  3. Step 3: Cross multiply
    106,906.40x = 160,316.40 × 36,749.60
  4. Step 4: Simplify right side
    106,906.40x = 5,891,563,573.44
  5. Step 5: Solve for x
    x = 5,891,563,573.44/106,906.40
  6. Step 6: Final answer
    x = 55,109.55

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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.