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Finding the Fourth Proportional to 185,774.96, 256,369.44 and 100,892

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Solution

The fourth proportional to 185,774.96, 256,369.44 and 100,892 is: 139,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,774.96 : 256,369.44 = 100,892 : x
  2. Step 2: Convert to fraction form
    185,774.96/256,369.44 = 100,892/x
  3. Step 3: Cross multiply
    185,774.96x = 256,369.44 × 100,892
  4. Step 4: Simplify right side
    185,774.96x = 25,865,625,540.48
  5. Step 5: Solve for x
    x = 25,865,625,540.48/185,774.96
  6. Step 6: Final answer
    x = 139,230.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.