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Finding the Fourth Proportional to 307,703.75, 461,761.80 and 108,024.73

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Solution

The fourth proportional to 307,703.75, 461,761.80 and 108,024.73 is: 162,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,703.75 : 461,761.80 = 108,024.73 : x
  2. Step 2: Convert to fraction form
    307,703.75/461,761.80 = 108,024.73/x
  3. Step 3: Cross multiply
    307,703.75x = 461,761.80 × 108,024.73
  4. Step 4: Simplify right side
    307,703.75x = 49,881,694,346.52
  5. Step 5: Solve for x
    x = 49,881,694,346.52/307,703.75
  6. Step 6: Final answer
    x = 162,109.48

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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.