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Finding the Fourth Proportional to 307,101.68, 460,694.10 and 107,375.12

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Solution

The fourth proportional to 307,101.68, 460,694.10 and 107,375.12 is: 161,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,101.68 : 460,694.10 = 107,375.12 : x
  2. Step 2: Convert to fraction form
    307,101.68/460,694.10 = 107,375.12/x
  3. Step 3: Cross multiply
    307,101.68x = 460,694.10 × 107,375.12
  4. Step 4: Simplify right side
    307,101.68x = 49,467,084,270.79
  5. Step 5: Solve for x
    x = 49,467,084,270.79/307,101.68
  6. Step 6: Final answer
    x = 161,077.22

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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.