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Finding the Fourth Proportional to 208,181.12, 312,270.24 and 50,410.40

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Solution

The fourth proportional to 208,181.12, 312,270.24 and 50,410.40 is: 75,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,181.12 : 312,270.24 = 50,410.40 : x
  2. Step 2: Convert to fraction form
    208,181.12/312,270.24 = 50,410.40/x
  3. Step 3: Cross multiply
    208,181.12x = 312,270.24 × 50,410.40
  4. Step 4: Simplify right side
    208,181.12x = 15,741,667,706.50
  5. Step 5: Solve for x
    x = 15,741,667,706.50/208,181.12
  6. Step 6: Final answer
    x = 75,615.25

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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.