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Finding the Fourth Proportional to 104,906.56, 144,769.23 and 57,160.30

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Solution

The fourth proportional to 104,906.56, 144,769.23 and 57,160.30 is: 78,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,906.56 : 144,769.23 = 57,160.30 : x
  2. Step 2: Convert to fraction form
    104,906.56/144,769.23 = 57,160.30/x
  3. Step 3: Cross multiply
    104,906.56x = 144,769.23 × 57,160.30
  4. Step 4: Simplify right side
    104,906.56x = 8,275,052,617.57
  5. Step 5: Solve for x
    x = 8,275,052,617.57/104,906.56
  6. Step 6: Final answer
    x = 78,880.22

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1.5x scale

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.