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Finding the Fourth Proportional to 211,198.38, 291,453.76 and 126,335.49

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Solution

The fourth proportional to 211,198.38, 291,453.76 and 126,335.49 is: 174,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,198.38 : 291,453.76 = 126,335.49 : x
  2. Step 2: Convert to fraction form
    211,198.38/291,453.76 = 126,335.49/x
  3. Step 3: Cross multiply
    211,198.38x = 291,453.76 × 126,335.49
  4. Step 4: Simplify right side
    211,198.38x = 36,820,953,581.94
  5. Step 5: Solve for x
    x = 36,820,953,581.94/211,198.38
  6. Step 6: Final answer
    x = 174,342.97

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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.