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Finding the Fourth Proportional to 273,438.50, 410,198.75 and 95,914.24

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Solution

The fourth proportional to 273,438.50, 410,198.75 and 95,914.24 is: 143,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,438.50 : 410,198.75 = 95,914.24 : x
  2. Step 2: Convert to fraction form
    273,438.50/410,198.75 = 95,914.24/x
  3. Step 3: Cross multiply
    273,438.50x = 410,198.75 × 95,914.24
  4. Step 4: Simplify right side
    273,438.50x = 39,343,899,850.13
  5. Step 5: Solve for x
    x = 39,343,899,850.13/273,438.50
  6. Step 6: Final answer
    x = 143,885.74

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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.