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Finding the Fourth Proportional to 200,114.82, 276,165.03 and 114,072.27

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Solution

The fourth proportional to 200,114.82, 276,165.03 and 114,072.27 is: 157,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,114.82 : 276,165.03 = 114,072.27 : x
  2. Step 2: Convert to fraction form
    200,114.82/276,165.03 = 114,072.27/x
  3. Step 3: Cross multiply
    200,114.82x = 276,165.03 × 114,072.27
  4. Step 4: Simplify right side
    200,114.82x = 31,502,770,617.21
  5. Step 5: Solve for x
    x = 31,502,770,617.21/200,114.82
  6. Step 6: Final answer
    x = 157,423.48

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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.