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Finding the Fourth Proportional to 200,455.43, 276,621.27 and 114,418.85

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Solution

The fourth proportional to 200,455.43, 276,621.27 and 114,418.85 is: 157,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,455.43 : 276,621.27 = 114,418.85 : x
  2. Step 2: Convert to fraction form
    200,455.43/276,621.27 = 114,418.85/x
  3. Step 3: Cross multiply
    200,455.43x = 276,621.27 × 114,418.85
  4. Step 4: Simplify right side
    200,455.43x = 31,650,686,215.83
  5. Step 5: Solve for x
    x = 31,650,686,215.83/200,455.43
  6. Step 6: Final answer
    x = 157,893.89

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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.