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Finding the Fourth Proportional to 153,049.72, 211,198.38 and 85,062.28

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Solution

The fourth proportional to 153,049.72, 211,198.38 and 85,062.28 is: 117,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,049.72 : 211,198.38 = 85,062.28 : x
  2. Step 2: Convert to fraction form
    153,049.72/211,198.38 = 85,062.28/x
  3. Step 3: Cross multiply
    153,049.72x = 211,198.38 × 85,062.28
  4. Step 4: Simplify right side
    153,049.72x = 17,965,015,735.11
  5. Step 5: Solve for x
    x = 17,965,015,735.11/153,049.72
  6. Step 6: Final answer
    x = 117,380.26

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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.