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Finding the Fourth Proportional to 200,142.24, 276,230.16 and 115,243.68

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Solution

The fourth proportional to 200,142.24, 276,230.16 and 115,243.68 is: 159,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,142.24 : 276,230.16 = 115,243.68 : x
  2. Step 2: Convert to fraction form
    200,142.24/276,230.16 = 115,243.68/x
  3. Step 3: Cross multiply
    200,142.24x = 276,230.16 × 115,243.68
  4. Step 4: Simplify right side
    200,142.24x = 31,833,780,165.39
  5. Step 5: Solve for x
    x = 31,833,780,165.39/200,142.24
  6. Step 6: Final answer
    x = 159,055.78

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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.