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Finding the Fourth Proportional to 204,146.38, 281,728.50 and 113,506.16

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Solution

The fourth proportional to 204,146.38, 281,728.50 and 113,506.16 is: 156,642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,146.38 : 281,728.50 = 113,506.16 : x
  2. Step 2: Convert to fraction form
    204,146.38/281,728.50 = 113,506.16/x
  3. Step 3: Cross multiply
    204,146.38x = 281,728.50 × 113,506.16
  4. Step 4: Simplify right side
    204,146.38x = 31,977,920,905.70
  5. Step 5: Solve for x
    x = 31,977,920,905.70/204,146.38
  6. Step 6: Final answer
    x = 156,642.12

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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.