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Finding the Fourth Proportional to 205,165.60, 307,942.80 and 175,616.80

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Solution

The fourth proportional to 205,165.60, 307,942.80 and 175,616.80 is: 263,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,165.60 : 307,942.80 = 175,616.80 : x
  2. Step 2: Convert to fraction form
    205,165.60/307,942.80 = 175,616.80/x
  3. Step 3: Cross multiply
    205,165.60x = 307,942.80 × 175,616.80
  4. Step 4: Simplify right side
    205,165.60x = 54,079,929,119.04
  5. Step 5: Solve for x
    x = 54,079,929,119.04/205,165.60
  6. Step 6: Final answer
    x = 263,591.60

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