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Finding the Fourth Proportional to 207,644.33, 311,492.42 and 81,268.23

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Solution

The fourth proportional to 207,644.33, 311,492.42 and 81,268.23 is: 121,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,644.33 : 311,492.42 = 81,268.23 : x
  2. Step 2: Convert to fraction form
    207,644.33/311,492.42 = 81,268.23/x
  3. Step 3: Cross multiply
    207,644.33x = 311,492.42 × 81,268.23
  4. Step 4: Simplify right side
    207,644.33x = 25,314,437,834.99
  5. Step 5: Solve for x
    x = 25,314,437,834.99/207,644.33
  6. Step 6: Final answer
    x = 121,912.50

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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.