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Finding the Fourth Proportional to 223,401.75, 335,102.64 and 57,189.75

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Solution

The fourth proportional to 223,401.75, 335,102.64 and 57,189.75 is: 85,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,401.75 : 335,102.64 = 57,189.75 : x
  2. Step 2: Convert to fraction form
    223,401.75/335,102.64 = 57,189.75/x
  3. Step 3: Cross multiply
    223,401.75x = 335,102.64 × 57,189.75
  4. Step 4: Simplify right side
    223,401.75x = 19,164,436,205.94
  5. Step 5: Solve for x
    x = 19,164,436,205.94/223,401.75
  6. Step 6: Final answer
    x = 85,784.63

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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.