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Finding the Fourth Proportional to 226,966, 313,222.80 and 126,364

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Solution

The fourth proportional to 226,966, 313,222.80 and 126,364 is: 174,387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,966 : 313,222.80 = 126,364 : x
  2. Step 2: Convert to fraction form
    226,966/313,222.80 = 126,364/x
  3. Step 3: Cross multiply
    226,966x = 313,222.80 × 126,364
  4. Step 4: Simplify right side
    226,966x = 39,580,085,899.20
  5. Step 5: Solve for x
    x = 39,580,085,899.20/226,966
  6. Step 6: Final answer
    x = 174,387.73

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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.