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Finding the Fourth Proportional to 98,238.56, 147,357.65 and 27,161.02

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Solution

The fourth proportional to 98,238.56, 147,357.65 and 27,161.02 is: 40,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,238.56 : 147,357.65 = 27,161.02 : x
  2. Step 2: Convert to fraction form
    98,238.56/147,357.65 = 27,161.02/x
  3. Step 3: Cross multiply
    98,238.56x = 147,357.65 × 27,161.02
  4. Step 4: Simplify right side
    98,238.56x = 4,002,383,349.24
  5. Step 5: Solve for x
    x = 4,002,383,349.24/98,238.56
  6. Step 6: Final answer
    x = 40,741.47

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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.