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Finding the Fourth Proportional to 226,011.96, 311,939.51 and 149,532.57

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Solution

The fourth proportional to 226,011.96, 311,939.51 and 149,532.57 is: 206,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,011.96 : 311,939.51 = 149,532.57 : x
  2. Step 2: Convert to fraction form
    226,011.96/311,939.51 = 149,532.57/x
  3. Step 3: Cross multiply
    226,011.96x = 311,939.51 × 149,532.57
  4. Step 4: Simplify right side
    226,011.96x = 46,645,115,867.18
  5. Step 5: Solve for x
    x = 46,645,115,867.18/226,011.96
  6. Step 6: Final answer
    x = 206,383.40

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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.