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Finding the Fourth Proportional to 206,929.50, 285,562.40 and 120,947.60

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Solution

The fourth proportional to 206,929.50, 285,562.40 and 120,947.60 is: 166,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,929.50 : 285,562.40 = 120,947.60 : x
  2. Step 2: Convert to fraction form
    206,929.50/285,562.40 = 120,947.60/x
  3. Step 3: Cross multiply
    206,929.50x = 285,562.40 × 120,947.60
  4. Step 4: Simplify right side
    206,929.50x = 34,538,086,930.24
  5. Step 5: Solve for x
    x = 34,538,086,930.24/206,929.50
  6. Step 6: Final answer
    x = 166,907.51

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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.