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Finding the Fourth Proportional to 311,993.24, 468,059.88 and 98,773.90

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Solution

The fourth proportional to 311,993.24, 468,059.88 and 98,773.90 is: 148,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,993.24 : 468,059.88 = 98,773.90 : x
  2. Step 2: Convert to fraction form
    311,993.24/468,059.88 = 98,773.90/x
  3. Step 3: Cross multiply
    311,993.24x = 468,059.88 × 98,773.90
  4. Step 4: Simplify right side
    311,993.24x = 46,232,099,781.13
  5. Step 5: Solve for x
    x = 46,232,099,781.13/311,993.24
  6. Step 6: Final answer
    x = 148,183.02

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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.