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Finding the Fourth Proportional to 223,783.75, 335,675.63 and 76,039.75

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Solution

The fourth proportional to 223,783.75, 335,675.63 and 76,039.75 is: 114,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,783.75 : 335,675.63 = 76,039.75 : x
  2. Step 2: Convert to fraction form
    223,783.75/335,675.63 = 76,039.75/x
  3. Step 3: Cross multiply
    223,783.75x = 335,675.63 × 76,039.75
  4. Step 4: Simplify right side
    223,783.75x = 25,524,690,986.29
  5. Step 5: Solve for x
    x = 25,524,690,986.29/223,783.75
  6. Step 6: Final answer
    x = 114,059.63

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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.