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Finding the Fourth Proportional to 204,960.50, 282,845.49 and 115,536.50

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Solution

The fourth proportional to 204,960.50, 282,845.49 and 115,536.50 is: 159,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,960.50 : 282,845.49 = 115,536.50 : x
  2. Step 2: Convert to fraction form
    204,960.50/282,845.49 = 115,536.50/x
  3. Step 3: Cross multiply
    204,960.50x = 282,845.49 × 115,536.50
  4. Step 4: Simplify right side
    204,960.50x = 32,678,977,955.39
  5. Step 5: Solve for x
    x = 32,678,977,955.39/204,960.50
  6. Step 6: Final answer
    x = 159,440.37

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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.