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Finding the Fourth Proportional to 362,391.84, 543,505.14 and 137,777.22

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Solution

The fourth proportional to 362,391.84, 543,505.14 and 137,777.22 is: 206,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,391.84 : 543,505.14 = 137,777.22 : x
  2. Step 2: Convert to fraction form
    362,391.84/543,505.14 = 137,777.22/x
  3. Step 3: Cross multiply
    362,391.84x = 543,505.14 × 137,777.22
  4. Step 4: Simplify right side
    362,391.84x = 74,882,627,244.91
  5. Step 5: Solve for x
    x = 74,882,627,244.91/362,391.84
  6. Step 6: Final answer
    x = 206,634.42

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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.