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Finding the Fourth Proportional to 200,537.53, 300,815.31 and 65,609.29

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Solution

The fourth proportional to 200,537.53, 300,815.31 and 65,609.29 is: 98,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,537.53 : 300,815.31 = 65,609.29 : x
  2. Step 2: Convert to fraction form
    200,537.53/300,815.31 = 65,609.29/x
  3. Step 3: Cross multiply
    200,537.53x = 300,815.31 × 65,609.29
  4. Step 4: Simplify right side
    200,537.53x = 19,736,278,910.23
  5. Step 5: Solve for x
    x = 19,736,278,910.23/200,537.53
  6. Step 6: Final answer
    x = 98,416.88

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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.