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Finding the Fourth Proportional to 225,910.84, 338,850.24 and 105,994.12

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Solution

The fourth proportional to 225,910.84, 338,850.24 and 105,994.12 is: 158,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,910.84 : 338,850.24 = 105,994.12 : x
  2. Step 2: Convert to fraction form
    225,910.84/338,850.24 = 105,994.12/x
  3. Step 3: Cross multiply
    225,910.84x = 338,850.24 × 105,994.12
  4. Step 4: Simplify right side
    225,910.84x = 35,916,133,000.59
  5. Step 5: Solve for x
    x = 35,916,133,000.59/225,910.84
  6. Step 6: Final answer
    x = 158,983.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.