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Finding the Fourth Proportional to 200,207.82, 300,301.20 and 50,448

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Solution

The fourth proportional to 200,207.82, 300,301.20 and 50,448 is: 75,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,207.82 : 300,301.20 = 50,448 : x
  2. Step 2: Convert to fraction form
    200,207.82/300,301.20 = 50,448/x
  3. Step 3: Cross multiply
    200,207.82x = 300,301.20 × 50,448
  4. Step 4: Simplify right side
    200,207.82x = 15,149,594,937.60
  5. Step 5: Solve for x
    x = 15,149,594,937.60/200,207.82
  6. Step 6: Final answer
    x = 75,669.35

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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.