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Finding the Fourth Proportional to 114,099.20, 170,824.80 and 107,892.80

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Solution

The fourth proportional to 114,099.20, 170,824.80 and 107,892.80 is: 161,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,099.20 : 170,824.80 = 107,892.80 : x
  2. Step 2: Convert to fraction form
    114,099.20/170,824.80 = 107,892.80/x
  3. Step 3: Cross multiply
    114,099.20x = 170,824.80 × 107,892.80
  4. Step 4: Simplify right side
    114,099.20x = 18,430,765,981.44
  5. Step 5: Solve for x
    x = 18,430,765,981.44/114,099.20
  6. Step 6: Final answer
    x = 161,532.82

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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.