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Finding the Fourth Proportional to 307,162.22, 460,712.19 and 82,493.46

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Solution

The fourth proportional to 307,162.22, 460,712.19 and 82,493.46 is: 123,731.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,162.22 : 460,712.19 = 82,493.46 : x
  2. Step 2: Convert to fraction form
    307,162.22/460,712.19 = 82,493.46/x
  3. Step 3: Cross multiply
    307,162.22x = 460,712.19 × 82,493.46
  4. Step 4: Simplify right side
    307,162.22x = 38,005,742,617.28
  5. Step 5: Solve for x
    x = 38,005,742,617.28/307,162.22
  6. Step 6: Final answer
    x = 123,731.83

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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.