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Finding the Fourth Proportional to 225,644.40, 338,110.54 and 83,293.80

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Solution

The fourth proportional to 225,644.40, 338,110.54 and 83,293.80 is: 124,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,644.40 : 338,110.54 = 83,293.80 : x
  2. Step 2: Convert to fraction form
    225,644.40/338,110.54 = 83,293.80/x
  3. Step 3: Cross multiply
    225,644.40x = 338,110.54 × 83,293.80
  4. Step 4: Simplify right side
    225,644.40x = 28,162,511,696.65
  5. Step 5: Solve for x
    x = 28,162,511,696.65/225,644.40
  6. Step 6: Final answer
    x = 124,809.26

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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.