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Finding the Fourth Proportional to 200,122.56, 276,142.08 and 114,092.64

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Solution

The fourth proportional to 200,122.56, 276,142.08 and 114,092.64 is: 157,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,122.56 : 276,142.08 = 114,092.64 : x
  2. Step 2: Convert to fraction form
    200,122.56/276,142.08 = 114,092.64/x
  3. Step 3: Cross multiply
    200,122.56x = 276,142.08 × 114,092.64
  4. Step 4: Simplify right side
    200,122.56x = 31,505,778,922.29
  5. Step 5: Solve for x
    x = 31,505,778,922.29/200,122.56
  6. Step 6: Final answer
    x = 157,432.42

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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.