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Finding the Fourth Proportional to 307,185.56, 460,709.22 and 110,193.56

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Solution

The fourth proportional to 307,185.56, 460,709.22 and 110,193.56 is: 165,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,185.56 : 460,709.22 = 110,193.56 : x
  2. Step 2: Convert to fraction form
    307,185.56/460,709.22 = 110,193.56/x
  3. Step 3: Cross multiply
    307,185.56x = 460,709.22 × 110,193.56
  4. Step 4: Simplify right side
    307,185.56x = 50,767,189,076.62
  5. Step 5: Solve for x
    x = 50,767,189,076.62/307,185.56
  6. Step 6: Final answer
    x = 165,265.55

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1.5x scale

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.