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Finding the Fourth Proportional to 204,814.92, 282,643.80 and 114,169.80

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Solution

The fourth proportional to 204,814.92, 282,643.80 and 114,169.80 is: 157,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814.92 : 282,643.80 = 114,169.80 : x
  2. Step 2: Convert to fraction form
    204,814.92/282,643.80 = 114,169.80/x
  3. Step 3: Cross multiply
    204,814.92x = 282,643.80 × 114,169.80
  4. Step 4: Simplify right side
    204,814.92x = 32,269,386,117.24
  5. Step 5: Solve for x
    x = 32,269,386,117.24/204,814.92
  6. Step 6: Final answer
    x = 157,553.88

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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.