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Finding the Fourth Proportional to 225,864.48, 338,344.96 and 135,857.48

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Solution

The fourth proportional to 225,864.48, 338,344.96 and 135,857.48 is: 203,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,864.48 : 338,344.96 = 135,857.48 : x
  2. Step 2: Convert to fraction form
    225,864.48/338,344.96 = 135,857.48/x
  3. Step 3: Cross multiply
    225,864.48x = 338,344.96 × 135,857.48
  4. Step 4: Simplify right side
    225,864.48x = 45,966,693,636.30
  5. Step 5: Solve for x
    x = 45,966,693,636.30/225,864.48
  6. Step 6: Final answer
    x = 203,514.49

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