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Finding the Fourth Proportional to 204,265.61, 281,886.51 and 114,841.61

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Solution

The fourth proportional to 204,265.61, 281,886.51 and 114,841.61 is: 158,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.61 : 281,886.51 = 114,841.61 : x
  2. Step 2: Convert to fraction form
    204,265.61/281,886.51 = 114,841.61/x
  3. Step 3: Cross multiply
    204,265.61x = 281,886.51 × 114,841.61
  4. Step 4: Simplify right side
    204,265.61x = 32,372,299,236.25
  5. Step 5: Solve for x
    x = 32,372,299,236.25/204,265.61
  6. Step 6: Final answer
    x = 158,481.40

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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.