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Finding the Fourth Proportional to 200,865.76, 300,676.52 and 117,921.76

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Solution

The fourth proportional to 200,865.76, 300,676.52 and 117,921.76 is: 176,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,865.76 : 300,676.52 = 117,921.76 : x
  2. Step 2: Convert to fraction form
    200,865.76/300,676.52 = 117,921.76/x
  3. Step 3: Cross multiply
    200,865.76x = 300,676.52 × 117,921.76
  4. Step 4: Simplify right side
    200,865.76x = 35,456,304,429.08
  5. Step 5: Solve for x
    x = 35,456,304,429.08/200,865.76
  6. Step 6: Final answer
    x = 176,517.41

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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.