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Finding the Fourth Proportional to 205,323.66, 281,288.57 and 197,647.97

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Solution

The fourth proportional to 205,323.66, 281,288.57 and 197,647.97 is: 270,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323.66 : 281,288.57 = 197,647.97 : x
  2. Step 2: Convert to fraction form
    205,323.66/281,288.57 = 197,647.97/x
  3. Step 3: Cross multiply
    205,323.66x = 281,288.57 × 197,647.97
  4. Step 4: Simplify right side
    205,323.66x = 55,596,112,450.02
  5. Step 5: Solve for x
    x = 55,596,112,450.02/205,323.66
  6. Step 6: Final answer
    x = 270,773.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.