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Finding the Fourth Proportional to 200,855.96, 277,169.28 and 114,824.24

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Solution

The fourth proportional to 200,855.96, 277,169.28 and 114,824.24 is: 158,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,855.96 : 277,169.28 = 114,824.24 : x
  2. Step 2: Convert to fraction form
    200,855.96/277,169.28 = 114,824.24/x
  3. Step 3: Cross multiply
    200,855.96x = 277,169.28 × 114,824.24
  4. Step 4: Simplify right side
    200,855.96x = 31,825,751,927.35
  5. Step 5: Solve for x
    x = 31,825,751,927.35/200,855.96
  6. Step 6: Final answer
    x = 158,450.62

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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.