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Finding the Fourth Proportional to 263,642.14, 395,530.62 and 76,653.64

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Solution

The fourth proportional to 263,642.14, 395,530.62 and 76,653.64 is: 115,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,642.14 : 395,530.62 = 76,653.64 : x
  2. Step 2: Convert to fraction form
    263,642.14/395,530.62 = 76,653.64/x
  3. Step 3: Cross multiply
    263,642.14x = 395,530.62 × 76,653.64
  4. Step 4: Simplify right side
    263,642.14x = 30,318,861,754.46
  5. Step 5: Solve for x
    x = 30,318,861,754.46/263,642.14
  6. Step 6: Final answer
    x = 115,000.06

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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.