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Finding the Fourth Proportional to 307,157.94, 460,944.51 and 107,480.06

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Solution

The fourth proportional to 307,157.94, 460,944.51 and 107,480.06 is: 161,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,157.94 : 460,944.51 = 107,480.06 : x
  2. Step 2: Convert to fraction form
    307,157.94/460,944.51 = 107,480.06/x
  3. Step 3: Cross multiply
    307,157.94x = 460,944.51 × 107,480.06
  4. Step 4: Simplify right side
    307,157.94x = 49,542,341,286.75
  5. Step 5: Solve for x
    x = 49,542,341,286.75/307,157.94
  6. Step 6: Final answer
    x = 161,292.73

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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.