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Finding the Fourth Proportional to 118,081.68, 177,183.60 and 46,989

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Solution

The fourth proportional to 118,081.68, 177,183.60 and 46,989 is: 70,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,081.68 : 177,183.60 = 46,989 : x
  2. Step 2: Convert to fraction form
    118,081.68/177,183.60 = 46,989/x
  3. Step 3: Cross multiply
    118,081.68x = 177,183.60 × 46,989
  4. Step 4: Simplify right side
    118,081.68x = 8,325,680,180.40
  5. Step 5: Solve for x
    x = 8,325,680,180.40/118,081.68
  6. Step 6: Final answer
    x = 70,507.81

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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.