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Finding the Fourth Proportional to 204,995.92, 282,894.81 and 114,349.54

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Solution

The fourth proportional to 204,995.92, 282,894.81 and 114,349.54 is: 157,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,995.92 : 282,894.81 = 114,349.54 : x
  2. Step 2: Convert to fraction form
    204,995.92/282,894.81 = 114,349.54/x
  3. Step 3: Cross multiply
    204,995.92x = 282,894.81 × 114,349.54
  4. Step 4: Simplify right side
    204,995.92x = 32,348,891,391.89
  5. Step 5: Solve for x
    x = 32,348,891,391.89/204,995.92
  6. Step 6: Final answer
    x = 157,802.61

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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.