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Finding the Fourth Proportional to 226,777.19, 312,954.89 and 129,978.97

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Solution

The fourth proportional to 226,777.19, 312,954.89 and 129,978.97 is: 179,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,777.19 : 312,954.89 = 129,978.97 : x
  2. Step 2: Convert to fraction form
    226,777.19/312,954.89 = 129,978.97/x
  3. Step 3: Cross multiply
    226,777.19x = 312,954.89 × 129,978.97
  4. Step 4: Simplify right side
    226,777.19x = 40,677,552,826.38
  5. Step 5: Solve for x
    x = 40,677,552,826.38/226,777.19
  6. Step 6: Final answer
    x = 179,372.33

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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.