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Finding the Fourth Proportional to 185,245, 255,636.52 and 100,361.88

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Solution

The fourth proportional to 185,245, 255,636.52 and 100,361.88 is: 138,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,245 : 255,636.52 = 100,361.88 : x
  2. Step 2: Convert to fraction form
    185,245/255,636.52 = 100,361.88/x
  3. Step 3: Cross multiply
    185,245x = 255,636.52 × 100,361.88
  4. Step 4: Simplify right side
    185,245x = 25,656,161,743.86
  5. Step 5: Solve for x
    x = 25,656,161,743.86/185,245
  6. Step 6: Final answer
    x = 138,498.54

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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.