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Finding the Fourth Proportional to 142,003.44, 211,842.26 and 138,142.48

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Solution

The fourth proportional to 142,003.44, 211,842.26 and 138,142.48 is: 206,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,003.44 : 211,842.26 = 138,142.48 : x
  2. Step 2: Convert to fraction form
    142,003.44/211,842.26 = 138,142.48/x
  3. Step 3: Cross multiply
    142,003.44x = 211,842.26 × 138,142.48
  4. Step 4: Simplify right side
    142,003.44x = 29,264,415,165.20
  5. Step 5: Solve for x
    x = 29,264,415,165.20/142,003.44
  6. Step 6: Final answer
    x = 206,082.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.