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Finding the Fourth Proportional to 205,842.60, 308,687.10 and 81,157.80

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Solution

The fourth proportional to 205,842.60, 308,687.10 and 81,157.80 is: 121,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,842.60 : 308,687.10 = 81,157.80 : x
  2. Step 2: Convert to fraction form
    205,842.60/308,687.10 = 81,157.80/x
  3. Step 3: Cross multiply
    205,842.60x = 308,687.10 × 81,157.80
  4. Step 4: Simplify right side
    205,842.60x = 25,052,365,924.38
  5. Step 5: Solve for x
    x = 25,052,365,924.38/205,842.60
  6. Step 6: Final answer
    x = 121,706.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.