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Finding the Fourth Proportional to 312,015.62, 468,093.90 and 98,796.48

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Solution

The fourth proportional to 312,015.62, 468,093.90 and 98,796.48 is: 148,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,015.62 : 468,093.90 = 98,796.48 : x
  2. Step 2: Convert to fraction form
    312,015.62/468,093.90 = 98,796.48/x
  3. Step 3: Cross multiply
    312,015.62x = 468,093.90 × 98,796.48
  4. Step 4: Simplify right side
    312,015.62x = 46,246,029,629.47
  5. Step 5: Solve for x
    x = 46,246,029,629.47/312,015.62
  6. Step 6: Final answer
    x = 148,217.04

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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.