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Finding the Fourth Proportional to 264,426.84, 364,912.83 and 143,568.36

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Solution

The fourth proportional to 264,426.84, 364,912.83 and 143,568.36 is: 198,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,426.84 : 364,912.83 = 143,568.36 : x
  2. Step 2: Convert to fraction form
    264,426.84/364,912.83 = 143,568.36/x
  3. Step 3: Cross multiply
    264,426.84x = 364,912.83 × 143,568.36
  4. Step 4: Simplify right side
    264,426.84x = 52,389,936,546.06
  5. Step 5: Solve for x
    x = 52,389,936,546.06/264,426.84
  6. Step 6: Final answer
    x = 198,126.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.