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Finding the Fourth Proportional to 225,769.52, 338,671.30 and 76,010.24

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Solution

The fourth proportional to 225,769.52, 338,671.30 and 76,010.24 is: 114,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,769.52 : 338,671.30 = 76,010.24 : x
  2. Step 2: Convert to fraction form
    225,769.52/338,671.30 = 76,010.24/x
  3. Step 3: Cross multiply
    225,769.52x = 338,671.30 × 76,010.24
  4. Step 4: Simplify right side
    225,769.52x = 25,742,486,794.11
  5. Step 5: Solve for x
    x = 25,742,486,794.11/225,769.52
  6. Step 6: Final answer
    x = 114,021.09

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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.