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Finding the Fourth Proportional to 251,884.44, 347,602.86 and 138,708

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Solution

The fourth proportional to 251,884.44, 347,602.86 and 138,708 is: 191,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,884.44 : 347,602.86 = 138,708 : x
  2. Step 2: Convert to fraction form
    251,884.44/347,602.86 = 138,708/x
  3. Step 3: Cross multiply
    251,884.44x = 347,602.86 × 138,708
  4. Step 4: Simplify right side
    251,884.44x = 48,215,297,504.88
  5. Step 5: Solve for x
    x = 48,215,297,504.88/251,884.44
  6. Step 6: Final answer
    x = 191,418.32

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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.