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Finding the Fourth Proportional to 159,092.10, 238,118.88 and 116,961.03

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Solution

The fourth proportional to 159,092.10, 238,118.88 and 116,961.03 is: 175,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,092.10 : 238,118.88 = 116,961.03 : x
  2. Step 2: Convert to fraction form
    159,092.10/238,118.88 = 116,961.03/x
  3. Step 3: Cross multiply
    159,092.10x = 238,118.88 × 116,961.03
  4. Step 4: Simplify right side
    159,092.10x = 27,850,629,467.25
  5. Step 5: Solve for x
    x = 27,850,629,467.25/159,092.10
  6. Step 6: Final answer
    x = 175,059.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.