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Finding the Fourth Proportional to 204,182, 281,771.16 and 114,758

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Solution

The fourth proportional to 204,182, 281,771.16 and 114,758 is: 158,366.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,182 : 281,771.16 = 114,758 : x
  2. Step 2: Convert to fraction form
    204,182/281,771.16 = 114,758/x
  3. Step 3: Cross multiply
    204,182x = 281,771.16 × 114,758
  4. Step 4: Simplify right side
    204,182x = 32,335,494,779.28
  5. Step 5: Solve for x
    x = 32,335,494,779.28/204,182
  6. Step 6: Final answer
    x = 158,366.04

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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.