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Finding the Fourth Proportional to 137,198.10, 205,396.20 and 97,832.10

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Solution

The fourth proportional to 137,198.10, 205,396.20 and 97,832.10 is: 146,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,198.10 : 205,396.20 = 97,832.10 : x
  2. Step 2: Convert to fraction form
    137,198.10/205,396.20 = 97,832.10/x
  3. Step 3: Cross multiply
    137,198.10x = 205,396.20 × 97,832.10
  4. Step 4: Simplify right side
    137,198.10x = 20,094,341,578.02
  5. Step 5: Solve for x
    x = 20,094,341,578.02/137,198.10
  6. Step 6: Final answer
    x = 146,462.24

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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.