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Finding the Fourth Proportional to 200,431.70, 276,595.41 and 109,791.50

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Solution

The fourth proportional to 200,431.70, 276,595.41 and 109,791.50 is: 151,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,431.70 : 276,595.41 = 109,791.50 : x
  2. Step 2: Convert to fraction form
    200,431.70/276,595.41 = 109,791.50/x
  3. Step 3: Cross multiply
    200,431.70x = 276,595.41 × 109,791.50
  4. Step 4: Simplify right side
    200,431.70x = 30,367,824,957.02
  5. Step 5: Solve for x
    x = 30,367,824,957.02/200,431.70
  6. Step 6: Final answer
    x = 151,512.09

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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.