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Finding the Fourth Proportional to 204,693.82, 282,479.39 and 112,816.38

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Solution

The fourth proportional to 204,693.82, 282,479.39 and 112,816.38 is: 155,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,693.82 : 282,479.39 = 112,816.38 : x
  2. Step 2: Convert to fraction form
    204,693.82/282,479.39 = 112,816.38/x
  3. Step 3: Cross multiply
    204,693.82x = 282,479.39 × 112,816.38
  4. Step 4: Simplify right side
    204,693.82x = 31,868,302,204.41
  5. Step 5: Solve for x
    x = 31,868,302,204.41/204,693.82
  6. Step 6: Final answer
    x = 155,687.66

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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.