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Finding the Fourth Proportional to 226,882, 313,097.16 and 126,277.84

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Solution

The fourth proportional to 226,882, 313,097.16 and 126,277.84 is: 174,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,882 : 313,097.16 = 126,277.84 : x
  2. Step 2: Convert to fraction form
    226,882/313,097.16 = 126,277.84/x
  3. Step 3: Cross multiply
    226,882x = 313,097.16 × 126,277.84
  4. Step 4: Simplify right side
    226,882x = 39,537,233,074.93
  5. Step 5: Solve for x
    x = 39,537,233,074.93/226,882
  6. Step 6: Final answer
    x = 174,263.42

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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.