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Finding the Fourth Proportional to 206,685.20, 285,228.52 and 116,060.80

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Solution

The fourth proportional to 206,685.20, 285,228.52 and 116,060.80 is: 160,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,685.20 : 285,228.52 = 116,060.80 : x
  2. Step 2: Convert to fraction form
    206,685.20/285,228.52 = 116,060.80/x
  3. Step 3: Cross multiply
    206,685.20x = 285,228.52 × 116,060.80
  4. Step 4: Simplify right side
    206,685.20x = 33,103,850,214.02
  5. Step 5: Solve for x
    x = 33,103,850,214.02/206,685.20
  6. Step 6: Final answer
    x = 160,165.56

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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.