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Finding the Fourth Proportional to 68,114.40, 102,074.40 and 50,205.30

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Solution

The fourth proportional to 68,114.40, 102,074.40 and 50,205.30 is: 75,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.40 : 102,074.40 = 50,205.30 : x
  2. Step 2: Convert to fraction form
    68,114.40/102,074.40 = 50,205.30/x
  3. Step 3: Cross multiply
    68,114.40x = 102,074.40 × 50,205.30
  4. Step 4: Simplify right side
    68,114.40x = 5,124,675,874.32
  5. Step 5: Solve for x
    x = 5,124,675,874.32/68,114.40
  6. Step 6: Final answer
    x = 75,236.31

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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.