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Finding the Fourth Proportional to 226,963, 313,218.66 and 126,361

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Solution

The fourth proportional to 226,963, 313,218.66 and 126,361 is: 174,383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,963 : 313,218.66 = 126,361 : x
  2. Step 2: Convert to fraction form
    226,963/313,218.66 = 126,361/x
  3. Step 3: Cross multiply
    226,963x = 313,218.66 × 126,361
  4. Step 4: Simplify right side
    226,963x = 39,578,623,096.26
  5. Step 5: Solve for x
    x = 39,578,623,096.26/226,963
  6. Step 6: Final answer
    x = 174,383.59

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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.