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Finding the Fourth Proportional to 200,324.28, 276,460.83 and 115,446.81

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Solution

The fourth proportional to 200,324.28, 276,460.83 and 115,446.81 is: 159,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,324.28 : 276,460.83 = 115,446.81 : x
  2. Step 2: Convert to fraction form
    200,324.28/276,460.83 = 115,446.81/x
  3. Step 3: Cross multiply
    200,324.28x = 276,460.83 × 115,446.81
  4. Step 4: Simplify right side
    200,324.28x = 31,916,520,913.45
  5. Step 5: Solve for x
    x = 31,916,520,913.45/200,324.28
  6. Step 6: Final answer
    x = 159,324.28

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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.