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Finding the Fourth Proportional to 225,694.63, 338,564.28 and 83,577.82

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Solution

The fourth proportional to 225,694.63, 338,564.28 and 83,577.82 is: 125,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,694.63 : 338,564.28 = 83,577.82 : x
  2. Step 2: Convert to fraction form
    225,694.63/338,564.28 = 83,577.82/x
  3. Step 3: Cross multiply
    225,694.63x = 338,564.28 × 83,577.82
  4. Step 4: Simplify right side
    225,694.63x = 28,296,464,452.27
  5. Step 5: Solve for x
    x = 28,296,464,452.27/225,694.63
  6. Step 6: Final answer
    x = 125,375.00

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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.