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Finding the Fourth Proportional to 307,122.41, 460,749.21 and 107,449.31

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Solution

The fourth proportional to 307,122.41, 460,749.21 and 107,449.31 is: 161,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,122.41 : 460,749.21 = 107,449.31 : x
  2. Step 2: Convert to fraction form
    307,122.41/460,749.21 = 107,449.31/x
  3. Step 3: Cross multiply
    307,122.41x = 460,749.21 × 107,449.31
  4. Step 4: Simplify right side
    307,122.41x = 49,507,182,393.80
  5. Step 5: Solve for x
    x = 49,507,182,393.80/307,122.41
  6. Step 6: Final answer
    x = 161,196.91

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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.