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Finding the Fourth Proportional to 200,287.65, 300,447.81 and 87,952.26

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Solution

The fourth proportional to 200,287.65, 300,447.81 and 87,952.26 is: 131,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,287.65 : 300,447.81 = 87,952.26 : x
  2. Step 2: Convert to fraction form
    200,287.65/300,447.81 = 87,952.26/x
  3. Step 3: Cross multiply
    200,287.65x = 300,447.81 × 87,952.26
  4. Step 4: Simplify right side
    200,287.65x = 26,425,063,901.55
  5. Step 5: Solve for x
    x = 26,425,063,901.55/200,287.65
  6. Step 6: Final answer
    x = 131,935.56

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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.