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Finding the Fourth Proportional to 223,963.38, 335,906.19 and 76,219.38

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Solution

The fourth proportional to 223,963.38, 335,906.19 and 76,219.38 is: 114,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,963.38 : 335,906.19 = 76,219.38 : x
  2. Step 2: Convert to fraction form
    223,963.38/335,906.19 = 76,219.38/x
  3. Step 3: Cross multiply
    223,963.38x = 335,906.19 × 76,219.38
  4. Step 4: Simplify right side
    223,963.38x = 25,602,561,539.96
  5. Step 5: Solve for x
    x = 25,602,561,539.96/223,963.38
  6. Step 6: Final answer
    x = 114,315.84

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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.