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Finding the Fourth Proportional to 159,065.06, 238,422.60 and 65,519.78

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Solution

The fourth proportional to 159,065.06, 238,422.60 and 65,519.78 is: 98,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,065.06 : 238,422.60 = 65,519.78 : x
  2. Step 2: Convert to fraction form
    159,065.06/238,422.60 = 65,519.78/x
  3. Step 3: Cross multiply
    159,065.06x = 238,422.60 × 65,519.78
  4. Step 4: Simplify right side
    159,065.06x = 15,621,396,299.03
  5. Step 5: Solve for x
    x = 15,621,396,299.03/159,065.06
  6. Step 6: Final answer
    x = 98,207.59

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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.