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Finding the Fourth Proportional to 263,979.45, 364,290.49 and 143,120.36

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Solution

The fourth proportional to 263,979.45, 364,290.49 and 143,120.36 is: 197,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,979.45 : 364,290.49 = 143,120.36 : x
  2. Step 2: Convert to fraction form
    263,979.45/364,290.49 = 143,120.36/x
  3. Step 3: Cross multiply
    263,979.45x = 364,290.49 × 143,120.36
  4. Step 4: Simplify right side
    263,979.45x = 52,137,386,073.38
  5. Step 5: Solve for x
    x = 52,137,386,073.38/263,979.45
  6. Step 6: Final answer
    x = 197,505.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.