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Finding the Fourth Proportional to 362,160.49, 543,245.88 and 109,443.09

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Solution

The fourth proportional to 362,160.49, 543,245.88 and 109,443.09 is: 164,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,160.49 : 543,245.88 = 109,443.09 : x
  2. Step 2: Convert to fraction form
    362,160.49/543,245.88 = 109,443.09/x
  3. Step 3: Cross multiply
    362,160.49x = 543,245.88 × 109,443.09
  4. Step 4: Simplify right side
    362,160.49x = 59,454,507,736.97
  5. Step 5: Solve for x
    x = 59,454,507,736.97/362,160.49
  6. Step 6: Final answer
    x = 164,166.19

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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.