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Finding the Fourth Proportional to 206,374.17, 284,799.40 and 120,330.84

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Solution

The fourth proportional to 206,374.17, 284,799.40 and 120,330.84 is: 166,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,374.17 : 284,799.40 = 120,330.84 : x
  2. Step 2: Convert to fraction form
    206,374.17/284,799.40 = 120,330.84/x
  3. Step 3: Cross multiply
    206,374.17x = 284,799.40 × 120,330.84
  4. Step 4: Simplify right side
    206,374.17x = 34,270,150,732.67
  5. Step 5: Solve for x
    x = 34,270,150,732.67/206,374.17
  6. Step 6: Final answer
    x = 166,058.33

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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.