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Finding the Fourth Proportional to 225,253.30, 338,046.41 and 181,409.21

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Solution

The fourth proportional to 225,253.30, 338,046.41 and 181,409.21 is: 272,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,253.30 : 338,046.41 = 181,409.21 : x
  2. Step 2: Convert to fraction form
    225,253.30/338,046.41 = 181,409.21/x
  3. Step 3: Cross multiply
    225,253.30x = 338,046.41 × 181,409.21
  4. Step 4: Simplify right side
    225,253.30x = 61,324,732,119.51
  5. Step 5: Solve for x
    x = 61,324,732,119.51/225,253.30
  6. Step 6: Final answer
    x = 272,247.88

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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.