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Finding the Fourth Proportional to 202,031.82, 302,982.12 and 95,399.28

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Solution

The fourth proportional to 202,031.82, 302,982.12 and 95,399.28 is: 143,067.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,031.82 : 302,982.12 = 95,399.28 : x
  2. Step 2: Convert to fraction form
    202,031.82/302,982.12 = 95,399.28/x
  3. Step 3: Cross multiply
    202,031.82x = 302,982.12 × 95,399.28
  4. Step 4: Simplify right side
    202,031.82x = 28,904,276,100.87
  5. Step 5: Solve for x
    x = 28,904,276,100.87/202,031.82
  6. Step 6: Final answer
    x = 143,067.94

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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.