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Finding the Fourth Proportional to 202,684.50, 279,770.22 and 127,233

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Solution

The fourth proportional to 202,684.50, 279,770.22 and 127,233 is: 175,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,684.50 : 279,770.22 = 127,233 : x
  2. Step 2: Convert to fraction form
    202,684.50/279,770.22 = 127,233/x
  3. Step 3: Cross multiply
    202,684.50x = 279,770.22 × 127,233
  4. Step 4: Simplify right side
    202,684.50x = 35,596,004,401.26
  5. Step 5: Solve for x
    x = 35,596,004,401.26/202,684.50
  6. Step 6: Final answer
    x = 175,622.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.