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Finding the Fourth Proportional to 263,641.14, 395,529.12 and 76,652.64

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Solution

The fourth proportional to 263,641.14, 395,529.12 and 76,652.64 is: 114,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,641.14 : 395,529.12 = 76,652.64 : x
  2. Step 2: Convert to fraction form
    263,641.14/395,529.12 = 76,652.64/x
  3. Step 3: Cross multiply
    263,641.14x = 395,529.12 × 76,652.64
  4. Step 4: Simplify right side
    263,641.14x = 30,318,351,244.88
  5. Step 5: Solve for x
    x = 30,318,351,244.88/263,641.14
  6. Step 6: Final answer
    x = 114,998.56

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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.