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Finding the Fourth Proportional to 204,930.46, 282,803.46 and 114,286.52

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Solution

The fourth proportional to 204,930.46, 282,803.46 and 114,286.52 is: 157,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930.46 : 282,803.46 = 114,286.52 : x
  2. Step 2: Convert to fraction form
    204,930.46/282,803.46 = 114,286.52/x
  3. Step 3: Cross multiply
    204,930.46x = 282,803.46 × 114,286.52
  4. Step 4: Simplify right side
    204,930.46x = 32,320,623,287.36
  5. Step 5: Solve for x
    x = 32,320,623,287.36/204,930.46
  6. Step 6: Final answer
    x = 157,715.08

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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.