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Finding the Fourth Proportional to 185,546.52, 256,187.34 and 114,022.44

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Solution

The fourth proportional to 185,546.52, 256,187.34 and 114,022.44 is: 157,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,546.52 : 256,187.34 = 114,022.44 : x
  2. Step 2: Convert to fraction form
    185,546.52/256,187.34 = 114,022.44/x
  3. Step 3: Cross multiply
    185,546.52x = 256,187.34 × 114,022.44
  4. Step 4: Simplify right side
    185,546.52x = 29,211,105,603.91
  5. Step 5: Solve for x
    x = 29,211,105,603.91/185,546.52
  6. Step 6: Final answer
    x = 157,432.79

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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.