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Finding the Fourth Proportional to 206,687.80, 285,226.64 and 116,041.50

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Solution

The fourth proportional to 206,687.80, 285,226.64 and 116,041.50 is: 160,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687.80 : 285,226.64 = 116,041.50 : x
  2. Step 2: Convert to fraction form
    206,687.80/285,226.64 = 116,041.50/x
  3. Step 3: Cross multiply
    206,687.80x = 285,226.64 × 116,041.50
  4. Step 4: Simplify right side
    206,687.80x = 33,098,127,145.56
  5. Step 5: Solve for x
    x = 33,098,127,145.56/206,687.80
  6. Step 6: Final answer
    x = 160,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.