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Finding the Fourth Proportional to 206,444.22, 284,825.76 and 120,383.76

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Solution

The fourth proportional to 206,444.22, 284,825.76 and 120,383.76 is: 166,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,444.22 : 284,825.76 = 120,383.76 : x
  2. Step 2: Convert to fraction form
    206,444.22/284,825.76 = 120,383.76/x
  3. Step 3: Cross multiply
    206,444.22x = 284,825.76 × 120,383.76
  4. Step 4: Simplify right side
    206,444.22x = 34,288,395,933.66
  5. Step 5: Solve for x
    x = 34,288,395,933.66/206,444.22
  6. Step 6: Final answer
    x = 166,090.37

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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.