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Finding the Fourth Proportional to 107,563.20, 161,344.80 and 102,724.80

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Solution

The fourth proportional to 107,563.20, 161,344.80 and 102,724.80 is: 154,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,563.20 : 161,344.80 = 102,724.80 : x
  2. Step 2: Convert to fraction form
    107,563.20/161,344.80 = 102,724.80/x
  3. Step 3: Cross multiply
    107,563.20x = 161,344.80 × 102,724.80
  4. Step 4: Simplify right side
    107,563.20x = 16,574,112,311.04
  5. Step 5: Solve for x
    x = 16,574,112,311.04/107,563.20
  6. Step 6: Final answer
    x = 154,087.20

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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.