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Finding the Fourth Proportional to 225,782.49, 338,673.64 and 68,010.95

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Solution

The fourth proportional to 225,782.49, 338,673.64 and 68,010.95 is: 102,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,782.49 : 338,673.64 = 68,010.95 : x
  2. Step 2: Convert to fraction form
    225,782.49/338,673.64 = 68,010.95/x
  3. Step 3: Cross multiply
    225,782.49x = 338,673.64 × 68,010.95
  4. Step 4: Simplify right side
    225,782.49x = 23,033,515,996.36
  5. Step 5: Solve for x
    x = 23,033,515,996.36/225,782.49
  6. Step 6: Final answer
    x = 102,016.40

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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.