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Finding the Fourth Proportional to 206,682.74, 285,200.14 and 116,048.60

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Solution

The fourth proportional to 206,682.74, 285,200.14 and 116,048.60 is: 160,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,682.74 : 285,200.14 = 116,048.60 : x
  2. Step 2: Convert to fraction form
    206,682.74/285,200.14 = 116,048.60/x
  3. Step 3: Cross multiply
    206,682.74x = 285,200.14 × 116,048.60
  4. Step 4: Simplify right side
    206,682.74x = 33,097,074,960.56
  5. Step 5: Solve for x
    x = 33,097,074,960.56/206,682.74
  6. Step 6: Final answer
    x = 160,134.69

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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.