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Finding the Fourth Proportional to 204,431.98, 282,085.84 and 122,742.97

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Solution

The fourth proportional to 204,431.98, 282,085.84 and 122,742.97 is: 169,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,431.98 : 282,085.84 = 122,742.97 : x
  2. Step 2: Convert to fraction form
    204,431.98/282,085.84 = 122,742.97/x
  3. Step 3: Cross multiply
    204,431.98x = 282,085.84 × 122,742.97
  4. Step 4: Simplify right side
    204,431.98x = 34,624,053,796.54
  5. Step 5: Solve for x
    x = 34,624,053,796.54/204,431.98
  6. Step 6: Final answer
    x = 169,367.11

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1.5x scale

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.