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Finding the Fourth Proportional to 200,145.24, 276,105 and 123,636.81

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Solution

The fourth proportional to 200,145.24, 276,105 and 123,636.81 is: 170,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,145.24 : 276,105 = 123,636.81 : x
  2. Step 2: Convert to fraction form
    200,145.24/276,105 = 123,636.81/x
  3. Step 3: Cross multiply
    200,145.24x = 276,105 × 123,636.81
  4. Step 4: Simplify right side
    200,145.24x = 34,136,741,425.05
  5. Step 5: Solve for x
    x = 34,136,741,425.05/200,145.24
  6. Step 6: Final answer
    x = 170,559.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.