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Finding the Fourth Proportional to 200,432.45, 276,519.80 and 114,396.21

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Solution

The fourth proportional to 200,432.45, 276,519.80 and 114,396.21 is: 157,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,432.45 : 276,519.80 = 114,396.21 : x
  2. Step 2: Convert to fraction form
    200,432.45/276,519.80 = 114,396.21/x
  3. Step 3: Cross multiply
    200,432.45x = 276,519.80 × 114,396.21
  4. Step 4: Simplify right side
    200,432.45x = 31,632,816,537.98
  5. Step 5: Solve for x
    x = 31,632,816,537.98/200,432.45
  6. Step 6: Final answer
    x = 157,822.83

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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.