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Finding the Fourth Proportional to 200,322.30, 300,513.22 and 58,168.82

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Solution

The fourth proportional to 200,322.30, 300,513.22 and 58,168.82 is: 87,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,322.30 : 300,513.22 = 58,168.82 : x
  2. Step 2: Convert to fraction form
    200,322.30/300,513.22 = 58,168.82/x
  3. Step 3: Cross multiply
    200,322.30x = 300,513.22 × 58,168.82
  4. Step 4: Simplify right side
    200,322.30x = 17,480,499,401.80
  5. Step 5: Solve for x
    x = 17,480,499,401.80/200,322.30
  6. Step 6: Final answer
    x = 87,261.87

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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.