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Finding the Fourth Proportional to 200,725.25, 301,204.52 and 89,917.25

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Solution

The fourth proportional to 200,725.25, 301,204.52 and 89,917.25 is: 134,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.25 : 301,204.52 = 89,917.25 : x
  2. Step 2: Convert to fraction form
    200,725.25/301,204.52 = 89,917.25/x
  3. Step 3: Cross multiply
    200,725.25x = 301,204.52 × 89,917.25
  4. Step 4: Simplify right side
    200,725.25x = 27,083,481,676.38
  5. Step 5: Solve for x
    x = 27,083,481,676.38/200,725.25
  6. Step 6: Final answer
    x = 134,928.13

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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.