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Finding the Fourth Proportional to 200,631.52, 300,859.79 and 75,885.04

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Solution

The fourth proportional to 200,631.52, 300,859.79 and 75,885.04 is: 113,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,631.52 : 300,859.79 = 75,885.04 : x
  2. Step 2: Convert to fraction form
    200,631.52/300,859.79 = 75,885.04/x
  3. Step 3: Cross multiply
    200,631.52x = 300,859.79 × 75,885.04
  4. Step 4: Simplify right side
    200,631.52x = 22,830,757,388.25
  5. Step 5: Solve for x
    x = 22,830,757,388.25/200,631.52
  6. Step 6: Final answer
    x = 113,794.47

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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.