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Finding the Fourth Proportional to 207,992.49, 311,915.75 and 58,192.53

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Solution

The fourth proportional to 207,992.49, 311,915.75 and 58,192.53 is: 87,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,992.49 : 311,915.75 = 58,192.53 : x
  2. Step 2: Convert to fraction form
    207,992.49/311,915.75 = 58,192.53/x
  3. Step 3: Cross multiply
    207,992.49x = 311,915.75 × 58,192.53
  4. Step 4: Simplify right side
    207,992.49x = 18,151,166,348.38
  5. Step 5: Solve for x
    x = 18,151,166,348.38/207,992.49
  6. Step 6: Final answer
    x = 87,268.37

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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.