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Finding the Fourth Proportional to 204,504.62, 282,215.71 and 113,858.22

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Solution

The fourth proportional to 204,504.62, 282,215.71 and 113,858.22 is: 157,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,504.62 : 282,215.71 = 113,858.22 : x
  2. Step 2: Convert to fraction form
    204,504.62/282,215.71 = 113,858.22/x
  3. Step 3: Cross multiply
    204,504.62x = 282,215.71 × 113,858.22
  4. Step 4: Simplify right side
    204,504.62x = 32,132,579,597.27
  5. Step 5: Solve for x
    x = 32,132,579,597.27/204,504.62
  6. Step 6: Final answer
    x = 157,123.98

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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.