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Finding the Fourth Proportional to 204,994.60, 282,784.98 and 166,796.80

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Solution

The fourth proportional to 204,994.60, 282,784.98 and 166,796.80 is: 230,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,994.60 : 282,784.98 = 166,796.80 : x
  2. Step 2: Convert to fraction form
    204,994.60/282,784.98 = 166,796.80/x
  3. Step 3: Cross multiply
    204,994.60x = 282,784.98 × 166,796.80
  4. Step 4: Simplify right side
    204,994.60x = 47,167,629,752.06
  5. Step 5: Solve for x
    x = 47,167,629,752.06/204,994.60
  6. Step 6: Final answer
    x = 230,092.06

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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.