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Finding the Fourth Proportional to 204,000, 281,546.40 and 114,576

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Solution

The fourth proportional to 204,000, 281,546.40 and 114,576 is: 158,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000 : 281,546.40 = 114,576 : x
  2. Step 2: Convert to fraction form
    204,000/281,546.40 = 114,576/x
  3. Step 3: Cross multiply
    204,000x = 281,546.40 × 114,576
  4. Step 4: Simplify right side
    204,000x = 32,258,460,326.40
  5. Step 5: Solve for x
    x = 32,258,460,326.40/204,000
  6. Step 6: Final answer
    x = 158,129.71

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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.