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Finding the Fourth Proportional to 200,496.54, 276,674.64 and 114,452.10

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Solution

The fourth proportional to 200,496.54, 276,674.64 and 114,452.10 is: 157,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496.54 : 276,674.64 = 114,452.10 : x
  2. Step 2: Convert to fraction form
    200,496.54/276,674.64 = 114,452.10/x
  3. Step 3: Cross multiply
    200,496.54x = 276,674.64 × 114,452.10
  4. Step 4: Simplify right side
    200,496.54x = 31,665,993,564.74
  5. Step 5: Solve for x
    x = 31,665,993,564.74/200,496.54
  6. Step 6: Final answer
    x = 157,937.86

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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.