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Finding the Fourth Proportional to 206,769.40, 285,403.65 and 120,751.59

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Solution

The fourth proportional to 206,769.40, 285,403.65 and 120,751.59 is: 166,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,769.40 : 285,403.65 = 120,751.59 : x
  2. Step 2: Convert to fraction form
    206,769.40/285,403.65 = 120,751.59/x
  3. Step 3: Cross multiply
    206,769.40x = 285,403.65 × 120,751.59
  4. Step 4: Simplify right side
    206,769.40x = 34,462,943,102.29
  5. Step 5: Solve for x
    x = 34,462,943,102.29/206,769.40
  6. Step 6: Final answer
    x = 166,673.32

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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.