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Finding the Fourth Proportional to 204,481.80, 282,187.80 and 113,841.72

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Solution

The fourth proportional to 204,481.80, 282,187.80 and 113,841.72 is: 157,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,481.80 : 282,187.80 = 113,841.72 : x
  2. Step 2: Convert to fraction form
    204,481.80/282,187.80 = 113,841.72/x
  3. Step 3: Cross multiply
    204,481.80x = 282,187.80 × 113,841.72
  4. Step 4: Simplify right side
    204,481.80x = 32,124,744,515.02
  5. Step 5: Solve for x
    x = 32,124,744,515.02/204,481.80
  6. Step 6: Final answer
    x = 157,103.20

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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.