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Finding the Fourth Proportional to 204,342.94, 281,990.54 and 114,918.94

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Solution

The fourth proportional to 204,342.94, 281,990.54 and 114,918.94 is: 158,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,342.94 : 281,990.54 = 114,918.94 : x
  2. Step 2: Convert to fraction form
    204,342.94/281,990.54 = 114,918.94/x
  3. Step 3: Cross multiply
    204,342.94x = 281,990.54 × 114,918.94
  4. Step 4: Simplify right side
    204,342.94x = 32,406,053,946.83
  5. Step 5: Solve for x
    x = 32,406,053,946.83/204,342.94
  6. Step 6: Final answer
    x = 158,586.61

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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.