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Finding the Fourth Proportional to 185,781.15, 256,393.79 and 105,223

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Solution

The fourth proportional to 185,781.15, 256,393.79 and 105,223 is: 145,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,781.15 : 256,393.79 = 105,223 : x
  2. Step 2: Convert to fraction form
    185,781.15/256,393.79 = 105,223/x
  3. Step 3: Cross multiply
    185,781.15x = 256,393.79 × 105,223
  4. Step 4: Simplify right side
    185,781.15x = 26,978,523,765.17
  5. Step 5: Solve for x
    x = 26,978,523,765.17/185,781.15
  6. Step 6: Final answer
    x = 145,216.69

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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.