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Finding the Fourth Proportional to 159,040.97, 238,670.96 and 65,546.72

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Solution

The fourth proportional to 159,040.97, 238,670.96 and 65,546.72 is: 98,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,040.97 : 238,670.96 = 65,546.72 : x
  2. Step 2: Convert to fraction form
    159,040.97/238,670.96 = 65,546.72/x
  3. Step 3: Cross multiply
    159,040.97x = 238,670.96 × 65,546.72
  4. Step 4: Simplify right side
    159,040.97x = 15,644,097,961.18
  5. Step 5: Solve for x
    x = 15,644,097,961.18/159,040.97
  6. Step 6: Final answer
    x = 98,365.21

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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.