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Finding the Fourth Proportional to 204,159.54, 281,741.04 and 113,523.78

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Solution

The fourth proportional to 204,159.54, 281,741.04 and 113,523.78 is: 156,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,159.54 : 281,741.04 = 113,523.78 : x
  2. Step 2: Convert to fraction form
    204,159.54/281,741.04 = 113,523.78/x
  3. Step 3: Cross multiply
    204,159.54x = 281,741.04 × 113,523.78
  4. Step 4: Simplify right side
    204,159.54x = 31,984,307,841.93
  5. Step 5: Solve for x
    x = 31,984,307,841.93/204,159.54
  6. Step 6: Final answer
    x = 156,663.30

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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.