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Finding the Fourth Proportional to 204,807.94, 282,688.41 and 133,383.94

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Solution

The fourth proportional to 204,807.94, 282,688.41 and 133,383.94 is: 184,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,807.94 : 282,688.41 = 133,383.94 : x
  2. Step 2: Convert to fraction form
    204,807.94/282,688.41 = 133,383.94/x
  3. Step 3: Cross multiply
    204,807.94x = 282,688.41 × 133,383.94
  4. Step 4: Simplify right side
    204,807.94x = 37,706,093,918.14
  5. Step 5: Solve for x
    x = 37,706,093,918.14/204,807.94
  6. Step 6: Final answer
    x = 184,104.65

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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.