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Finding the Fourth Proportional to 204,265.98, 281,887.04 and 114,841.98

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Solution

The fourth proportional to 204,265.98, 281,887.04 and 114,841.98 is: 158,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.98 : 281,887.04 = 114,841.98 : x
  2. Step 2: Convert to fraction form
    204,265.98/281,887.04 = 114,841.98/x
  3. Step 3: Cross multiply
    204,265.98x = 281,887.04 × 114,841.98
  4. Step 4: Simplify right side
    204,265.98x = 32,372,465,235.73
  5. Step 5: Solve for x
    x = 32,372,465,235.73/204,265.98
  6. Step 6: Final answer
    x = 158,481.92

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1.5x scale

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.