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Finding the Fourth Proportional to 137,832.10, 206,942.55 and 85,344.10

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Solution

The fourth proportional to 137,832.10, 206,942.55 and 85,344.10 is: 128,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,832.10 : 206,942.55 = 85,344.10 : x
  2. Step 2: Convert to fraction form
    137,832.10/206,942.55 = 85,344.10/x
  3. Step 3: Cross multiply
    137,832.10x = 206,942.55 × 85,344.10
  4. Step 4: Simplify right side
    137,832.10x = 17,661,325,681.46
  5. Step 5: Solve for x
    x = 17,661,325,681.46/137,832.10
  6. Step 6: Final answer
    x = 128,136.52

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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.