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Finding the Fourth Proportional to 185,896.30, 256,540.08 and 105,321.82

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Solution

The fourth proportional to 185,896.30, 256,540.08 and 105,321.82 is: 145,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,896.30 : 256,540.08 = 105,321.82 : x
  2. Step 2: Convert to fraction form
    185,896.30/256,540.08 = 105,321.82/x
  3. Step 3: Cross multiply
    185,896.30x = 256,540.08 × 105,321.82
  4. Step 4: Simplify right side
    185,896.30x = 27,019,268,128.55
  5. Step 5: Solve for x
    x = 27,019,268,128.55/185,896.30
  6. Step 6: Final answer
    x = 145,345.92

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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.