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Finding the Fourth Proportional to 225,498, 311,197.14 and 124,896

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Solution

The fourth proportional to 225,498, 311,197.14 and 124,896 is: 172,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,498 : 311,197.14 = 124,896 : x
  2. Step 2: Convert to fraction form
    225,498/311,197.14 = 124,896/x
  3. Step 3: Cross multiply
    225,498x = 311,197.14 × 124,896
  4. Step 4: Simplify right side
    225,498x = 38,867,277,997.44
  5. Step 5: Solve for x
    x = 38,867,277,997.44/225,498
  6. Step 6: Final answer
    x = 172,361.96

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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.