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Finding the Fourth Proportional to 204,674.20, 282,431.10 and 114,020.92

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Solution

The fourth proportional to 204,674.20, 282,431.10 and 114,020.92 is: 157,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,674.20 : 282,431.10 = 114,020.92 : x
  2. Step 2: Convert to fraction form
    204,674.20/282,431.10 = 114,020.92/x
  3. Step 3: Cross multiply
    204,674.20x = 282,431.10 × 114,020.92
  4. Step 4: Simplify right side
    204,674.20x = 32,203,053,858.61
  5. Step 5: Solve for x
    x = 32,203,053,858.61/204,674.20
  6. Step 6: Final answer
    x = 157,338.12

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Double scale
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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.