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Finding the Fourth Proportional to 202,032.82, 302,983.62 and 95,400.28

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Solution

The fourth proportional to 202,032.82, 302,983.62 and 95,400.28 is: 143,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,032.82 : 302,983.62 = 95,400.28 : x
  2. Step 2: Convert to fraction form
    202,032.82/302,983.62 = 95,400.28/x
  3. Step 3: Cross multiply
    202,032.82x = 302,983.62 × 95,400.28
  4. Step 4: Simplify right side
    202,032.82x = 28,904,722,183.41
  5. Step 5: Solve for x
    x = 28,904,722,183.41/202,032.82
  6. Step 6: Final answer
    x = 143,069.44

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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.