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Finding the Fourth Proportional to 205,169.30, 283,180.86 and 120,313.70

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Solution

The fourth proportional to 205,169.30, 283,180.86 and 120,313.70 is: 166,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,169.30 : 283,180.86 = 120,313.70 : x
  2. Step 2: Convert to fraction form
    205,169.30/283,180.86 = 120,313.70/x
  3. Step 3: Cross multiply
    205,169.30x = 283,180.86 × 120,313.70
  4. Step 4: Simplify right side
    205,169.30x = 34,070,535,619.88
  5. Step 5: Solve for x
    x = 34,070,535,619.88/205,169.30
  6. Step 6: Final answer
    x = 166,060.60

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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.