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Finding the Fourth Proportional to 200,839.30, 301,257.64 and 51,078.29

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Solution

The fourth proportional to 200,839.30, 301,257.64 and 51,078.29 is: 76,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,839.30 : 301,257.64 = 51,078.29 : x
  2. Step 2: Convert to fraction form
    200,839.30/301,257.64 = 51,078.29/x
  3. Step 3: Cross multiply
    200,839.30x = 301,257.64 × 51,078.29
  4. Step 4: Simplify right side
    200,839.30x = 15,387,725,100.64
  5. Step 5: Solve for x
    x = 15,387,725,100.64/200,839.30
  6. Step 6: Final answer
    x = 76,617.10

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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.