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Finding the Fourth Proportional to 180,627.40, 270,941.10 and 109,768.60

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Solution

The fourth proportional to 180,627.40, 270,941.10 and 109,768.60 is: 164,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,627.40 : 270,941.10 = 109,768.60 : x
  2. Step 2: Convert to fraction form
    180,627.40/270,941.10 = 109,768.60/x
  3. Step 3: Cross multiply
    180,627.40x = 270,941.10 × 109,768.60
  4. Step 4: Simplify right side
    180,627.40x = 29,740,825,229.46
  5. Step 5: Solve for x
    x = 29,740,825,229.46/180,627.40
  6. Step 6: Final answer
    x = 164,652.90

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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.