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Finding the Fourth Proportional to 200,873.92, 301,310.88 and 76,214.92

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Solution

The fourth proportional to 200,873.92, 301,310.88 and 76,214.92 is: 114,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,873.92 : 301,310.88 = 76,214.92 : x
  2. Step 2: Convert to fraction form
    200,873.92/301,310.88 = 76,214.92/x
  3. Step 3: Cross multiply
    200,873.92x = 301,310.88 × 76,214.92
  4. Step 4: Simplify right side
    200,873.92x = 22,964,384,614.33
  5. Step 5: Solve for x
    x = 22,964,384,614.33/200,873.92
  6. Step 6: Final answer
    x = 114,322.38

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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.