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Finding the Fourth Proportional to 273,086.40, 409,629.60 and 106,874.40

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Solution

The fourth proportional to 273,086.40, 409,629.60 and 106,874.40 is: 160,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,086.40 : 409,629.60 = 106,874.40 : x
  2. Step 2: Convert to fraction form
    273,086.40/409,629.60 = 106,874.40/x
  3. Step 3: Cross multiply
    273,086.40x = 409,629.60 × 106,874.40
  4. Step 4: Simplify right side
    273,086.40x = 43,778,917,722.24
  5. Step 5: Solve for x
    x = 43,778,917,722.24/273,086.40
  6. Step 6: Final answer
    x = 160,311.60

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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.