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Finding the Fourth Proportional to 205,039.80, 307,559.70 and 187,932.60

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Solution

The fourth proportional to 205,039.80, 307,559.70 and 187,932.60 is: 281,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,039.80 : 307,559.70 = 187,932.60 : x
  2. Step 2: Convert to fraction form
    205,039.80/307,559.70 = 187,932.60/x
  3. Step 3: Cross multiply
    205,039.80x = 307,559.70 × 187,932.60
  4. Step 4: Simplify right side
    205,039.80x = 57,800,494,076.22
  5. Step 5: Solve for x
    x = 57,800,494,076.22/205,039.80
  6. Step 6: Final answer
    x = 281,898.90

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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.