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Finding the Fourth Proportional to 115,824.40, 174,107.80 and 107,606.80

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Solution

The fourth proportional to 115,824.40, 174,107.80 and 107,606.80 is: 161,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,824.40 : 174,107.80 = 107,606.80 : x
  2. Step 2: Convert to fraction form
    115,824.40/174,107.80 = 107,606.80/x
  3. Step 3: Cross multiply
    115,824.40x = 174,107.80 × 107,606.80
  4. Step 4: Simplify right side
    115,824.40x = 18,735,183,213.04
  5. Step 5: Solve for x
    x = 18,735,183,213.04/115,824.40
  6. Step 6: Final answer
    x = 161,755.06

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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.