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Finding the Fourth Proportional to 226,833, 313,029.54 and 126,231.08

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Solution

The fourth proportional to 226,833, 313,029.54 and 126,231.08 is: 174,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,833 : 313,029.54 = 126,231.08 : x
  2. Step 2: Convert to fraction form
    226,833/313,029.54 = 126,231.08/x
  3. Step 3: Cross multiply
    226,833x = 313,029.54 × 126,231.08
  4. Step 4: Simplify right side
    226,833x = 39,514,056,906.10
  5. Step 5: Solve for x
    x = 39,514,056,906.10/226,833
  6. Step 6: Final answer
    x = 174,198.89

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1.5x scale

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.