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Finding the Fourth Proportional to 204,783.92, 282,618.24 and 114,169.24

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Solution

The fourth proportional to 204,783.92, 282,618.24 and 114,169.24 is: 157,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,783.92 : 282,618.24 = 114,169.24 : x
  2. Step 2: Convert to fraction form
    204,783.92/282,618.24 = 114,169.24/x
  3. Step 3: Cross multiply
    204,783.92x = 282,618.24 × 114,169.24
  4. Step 4: Simplify right side
    204,783.92x = 32,266,309,670.94
  5. Step 5: Solve for x
    x = 32,266,309,670.94/204,783.92
  6. Step 6: Final answer
    x = 157,562.71

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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.