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Finding the Fourth Proportional to 200,383.71, 300,608.24 and 95,167.14

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Solution

The fourth proportional to 200,383.71, 300,608.24 and 95,167.14 is: 142,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,383.71 : 300,608.24 = 95,167.14 : x
  2. Step 2: Convert to fraction form
    200,383.71/300,608.24 = 95,167.14/x
  3. Step 3: Cross multiply
    200,383.71x = 300,608.24 × 95,167.14
  4. Step 4: Simplify right side
    200,383.71x = 28,608,025,985.40
  5. Step 5: Solve for x
    x = 28,608,025,985.40/200,383.71
  6. Step 6: Final answer
    x = 142,766.23

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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.