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Finding the Fourth Proportional to 200,171.16, 276,239.70 and 109,535.13

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Solution

The fourth proportional to 200,171.16, 276,239.70 and 109,535.13 is: 151,160.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,171.16 : 276,239.70 = 109,535.13 : x
  2. Step 2: Convert to fraction form
    200,171.16/276,239.70 = 109,535.13/x
  3. Step 3: Cross multiply
    200,171.16x = 276,239.70 × 109,535.13
  4. Step 4: Simplify right side
    200,171.16x = 30,257,951,450.66
  5. Step 5: Solve for x
    x = 30,257,951,450.66/200,171.16
  6. Step 6: Final answer
    x = 151,160.39

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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.