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Finding the Fourth Proportional to 185,774.97, 256,372.43 and 100,892.03

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Solution

The fourth proportional to 185,774.97, 256,372.43 and 100,892.03 is: 139,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,774.97 : 256,372.43 = 100,892.03 : x
  2. Step 2: Convert to fraction form
    185,774.97/256,372.43 = 100,892.03/x
  3. Step 3: Cross multiply
    185,774.97x = 256,372.43 × 100,892.03
  4. Step 4: Simplify right side
    185,774.97x = 25,865,933,112.41
  5. Step 5: Solve for x
    x = 25,865,933,112.41/185,774.97
  6. Step 6: Final answer
    x = 139,232.61

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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.