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Finding the Fourth Proportional to 252,111.80, 378,167.70 and 204,872.60

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Solution

The fourth proportional to 252,111.80, 378,167.70 and 204,872.60 is: 307,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,111.80 : 378,167.70 = 204,872.60 : x
  2. Step 2: Convert to fraction form
    252,111.80/378,167.70 = 204,872.60/x
  3. Step 3: Cross multiply
    252,111.80x = 378,167.70 × 204,872.60
  4. Step 4: Simplify right side
    252,111.80x = 77,476,199,935.02
  5. Step 5: Solve for x
    x = 77,476,199,935.02/252,111.80
  6. Step 6: Final answer
    x = 307,308.90

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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.