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Finding the Fourth Proportional to 225,908.84, 338,847.24 and 105,992.12

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Solution

The fourth proportional to 225,908.84, 338,847.24 and 105,992.12 is: 158,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,908.84 : 338,847.24 = 105,992.12 : x
  2. Step 2: Convert to fraction form
    225,908.84/338,847.24 = 105,992.12/x
  3. Step 3: Cross multiply
    225,908.84x = 338,847.24 × 105,992.12
  4. Step 4: Simplify right side
    225,908.84x = 35,915,137,323.75
  5. Step 5: Solve for x
    x = 35,915,137,323.75/225,908.84
  6. Step 6: Final answer
    x = 158,980.66

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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.