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Finding the Fourth Proportional to 214,425, 295,712.82 and 133,859.97

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Solution

The fourth proportional to 214,425, 295,712.82 and 133,859.97 is: 184,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,425 : 295,712.82 = 133,859.97 : x
  2. Step 2: Convert to fraction form
    214,425/295,712.82 = 133,859.97/x
  3. Step 3: Cross multiply
    214,425x = 295,712.82 × 133,859.97
  4. Step 4: Simplify right side
    214,425x = 39,584,109,213.82
  5. Step 5: Solve for x
    x = 39,584,109,213.82/214,425
  6. Step 6: Final answer
    x = 184,605.85

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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.