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Finding the Fourth Proportional to 225,708.10, 338,606.41 and 83,554.47

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Solution

The fourth proportional to 225,708.10, 338,606.41 and 83,554.47 is: 125,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,708.10 : 338,606.41 = 83,554.47 : x
  2. Step 2: Convert to fraction form
    225,708.10/338,606.41 = 83,554.47/x
  3. Step 3: Cross multiply
    225,708.10x = 338,606.41 × 83,554.47
  4. Step 4: Simplify right side
    225,708.10x = 28,292,078,708.38
  5. Step 5: Solve for x
    x = 28,292,078,708.38/225,708.10
  6. Step 6: Final answer
    x = 125,348.09

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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.