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Finding the Fourth Proportional to 305,125.35, 421,097.82 and 169,201.90

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Solution

The fourth proportional to 305,125.35, 421,097.82 and 169,201.90 is: 233,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,125.35 : 421,097.82 = 169,201.90 : x
  2. Step 2: Convert to fraction form
    305,125.35/421,097.82 = 169,201.90/x
  3. Step 3: Cross multiply
    305,125.35x = 421,097.82 × 169,201.90
  4. Step 4: Simplify right side
    305,125.35x = 71,250,551,229.86
  5. Step 5: Solve for x
    x = 71,250,551,229.86/305,125.35
  6. Step 6: Final answer
    x = 233,512.39

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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.