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Finding the Fourth Proportional to 200,631, 276,799.80 and 114,527.85

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Solution

The fourth proportional to 200,631, 276,799.80 and 114,527.85 is: 158,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,631 : 276,799.80 = 114,527.85 : x
  2. Step 2: Convert to fraction form
    200,631/276,799.80 = 114,527.85/x
  3. Step 3: Cross multiply
    200,631x = 276,799.80 × 114,527.85
  4. Step 4: Simplify right side
    200,631x = 31,701,285,974.43
  5. Step 5: Solve for x
    x = 31,701,285,974.43/200,631
  6. Step 6: Final answer
    x = 158,007.91

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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.